MCRTN ÒDescription of WorkÓ (Annex I)

 

PART A: CONTRACT DETAILS AND OBJECTIVES

 

1: Full Title: EU - Noncommutative Geometry

 

   Short Title (i.e. Project Acronym): EU-NCG

 

2: Proposal Number: 031962 (EU-NCG)

 

   Contract Number: MRTN-CT-2006-031962

 

3: Duration of the project: 48 Months

 

4: Contractors and Place(s) of Implementing the Project

 

The Co-ordinator and other Contractors listed below shall be collectively responsible for execution of work defined in this Annex:

 

The Co-ordinator

1. Cardiff University [CU] established in the United Kingdom;

 

Other Contractors

 

2. Dublin Institute for Advanced Studies [DIAS] established in Ireland;

 

3. K¿benhavns Universitet [UKBH] established in Denmark;

 

4. University of Southern Denmark [ODENSE] established in Denmark;

 

5. Universita' degli Studi di Roma ``Tor Vergata'' [URTV] established in Italy;

 

6. Universitetet i Oslo [UiO] established in Norway;

 

7. Centre National de la Recherche Scientifique [CNRS], established in France;

 

8. WestfŠlische Wilhems-UniversitŠt MŸnster [MŸnster] established in Germany;

 

9. Katholieke Universiteit Leuven [K.U.Leuven] established in Belgium

 

10. Erwin Schršdinger Institute for Mathematical Physics [ESI] established in Austria;

 

11. Institutul de Matematica ``Simon Stoilow'' al Academiei Romane [IMAR] established in Romania.

 

The Co-ordinator and other Contractors are referred to jointly as Òthe ConsortiumÓ.

 

 

 

 

 

5: Project Overview

 

5.1 Overall Objectives

 

European scientists have played leading roles in many of the most exciting recent discoveries in the interaction between operator algebras, geometry, topology, algebraic geometry and quantum groups in pure mathematics and algebraic and conformal field theory, string theory, statistical mechanics in theoretical physics. The primary objective of this Research Training Network is to ensure that there is a new generation of young researchers in Europe with sufficient breadth of knowledge and training required for this interdisciplinary research. This will be achieved through bringing them to the cutting edge of research across a broad front including the following Research Objectives:

 

1.     Operator-algebras – classification and structure

2.     measure and isomorphism rigidity

3.     free probability and random matrices

4.     KK-theory and applications

5.     cyclic theory and index theory

6.     interplay between harmonic analysis and topology

7.     quantum groups

8.     applications to number theory

9.     algebraic quantum field theory

10.  fuzzy physics

11.  strings and non-commutative geometry

12.  quantum dynamics, quantum spin systems, quantum information

 

The unifying mathematical concept behind the programme is the use of noncommutative operator algebras and noncommutative geometry to understand singular spaces or quantum spaces, replacing classical topological or measure spaces and the associated commutative algebras of continuous or measurable functions with noncommutative algebras of operators. Bringing together groups in Europe having a common goal in pursuing the deep connections between various branches of mathematics and physics we plan to address their conjectures and problems through a training network preparing young researchers equipped to work in operator algebras and noncommutative geometry.

 

5.2 Overall Approach and Methodology

 

The plan is develop a training programme with the above research objectives, through eight focussed research semesters with eight mini-workshops and four annual meetings to bring young researchers  to the front line of research in a multi-disciplinary environment.

 

PART B: IMPLEMENTATION

 

1. Description of the joint Research/Training Project

 

We describe the breakdown of tasks and the leadership of each, who will be responsible for co-ordinating activities and have over all responsibility for driving the relevant research programmes.

 

 



Work Package A : OPERATOR ALGEBRAS – CLASSIFICATION AND STRUCUTRE

Leader:  Partners 4 and 7

 

Task A.1. Classification of Amenable C*-algebras

  • Partners 3, 4 & 7 on classification of nuclear non simple C*-algebras
  • Partner 4 extend classification invariant to high dimensions and classify
  • Partner 3  & 7: UCT Theorem for a category of algebras
  • Partner 6 : flows on C*-algebras, representations of Cuntz algebras, Hecke C*-algebras

Milestones:

MA.1, MA.2 and MA.3

Addresses: Research Objective 1

 

Task A.2. Operator Spaces

á      Partner 7 on Grothendieck inequality for operator spaces and extension to noncommutative Lp-spaces

Milestones:

 MA.4

Addresses: Research Objective 1

 

Task A.3. Structure of Operator Algebras

  • Partners 5 & 11 on algebraic reduction theory
  • Partners 1 & 5 on subfactor theory

Milestones:

Contribution to MA.5 and MK.1

Addresses:  Research Objective 1 and 9

 



Work Package B : MEASURE AND ISOMORPHISM RIGIDITY

Leader:  Partners 7 and 10

 

Task B.1. Multiparameter ergodic theory, algebraic dynamical systems

á      Partner 10 to investigate invariant measures of hyperbolic diffeomorphisms

Milestones:

MB.1 and contribution to MB.2

Addresses: Research Objective 2

 

Task B.2. Rigidity phenomena for actions of non-rigid groups Zd and nilpotent groups) and rigid groups (Kazhdan groups)

á      Partners 7 & 10 to investigate the extent and precise nature of  rigidity properties

á      Partners 7 & 10 to investigate connections with rigidity in ergodic actions of Kazhdan groups, orbit equivalence and von Neumann algebras

Milestones:

MB.2

Addresses: Research Objective 2

 



Work Package C : FREE PROBABILITY AND RANDOM MATRICES

Leader: Partner 4

 

Task C.1. Random Matrices

  • Partner 4: Investigate generalisations of random matrix results to sets of random unitary or random orthogonal matrices
  • Parnter 4 to develop free probability and random matrix methods for the invariant subspace problem
  • Partner 7  to develop free probability tools with applications to Voiculescu theory

Milestones:

MC.1

Addresses: Research Objective 2

 

Task C.2. Free entropy

á      Partners 4 & 9 on relating entropy definitions and computing entropy

Milestones:

MC.2 and contribution to ML.1

Addresses:  Research Objective 3

 

Task C.3. Free factors and quantization

  • Partners 5 & 11 : free factors and their subfactors, lattice-equivariant quantizations of the upper half-plane

Milestones:

Contribution to MC.3 and ML.1

Addresses: Research Objectives 1 & 3

 

 



Work Package D : KK-THEORY AND APPLICATIONS

Leader: Partner 7

 

Task D.1. Bivariant K-theory for locally convex algebras

  • Partner 7 to investigate with algebraic K-theory
  • Partners 3, 7 & 8 on K-theory of C*-bundles
  • Partners 3 & 8 on the assembly map and the Baum-Connes conjecture

Milestones:

Contribution to MD.1 and MF.1

Addresses: Research Objective 4

 

Task D.2. KK-theory as a triangulated category

á      Partners 3 & 8 on KK- theory, its triangulated structure and applications

Milestones:

MD.2 and contribution to MF.1

Addresses: Research Objective 4

 

Task D.3. Equivariant K-theory

  • Partners 3 & 8 on UCT in equivariant K-theory

Milestones:

Contribution to MD.3 and MK.1

Addresses:  Research Objective 4

 



Work Package E : CYCLIC THEORY AND INDEX THEORY

Leader: Partner 8

 

Task E.1. Cyclic theory and index theory

  • Partner 3 and 8 on index theory for algebras of Fourier integral operators, local index theorems and cyclic theory for quantum groups
  • Partner 6 on index formulae for q-deformed homogeneous spaces
  • Partner 7 on higher eta invariants and the cut and paste constructions
  • Partner 7 on the bivariant Chern  character for families  of Dirac operators
  • Partner 7 on the extension of pseudo differential calculus and Poincare duality for singular manifolds
  • Partner 7 on Borel laminations in connections with index theorems
  • Partner 7 on the Bellissard conjecture on the gap labelling for quasi crystals

Milestones:

ME.1 and contribution to ML.1

Addresses: Research Objective 5

 



Work Package F : INTERPLAY BETWEEN HARMONIC ANALSIS  & TOPOLOGY

Leader: Partners 3 and 8  

 

Task F.1. Harmonic analysis and topology : K-theory

  • Partner 3 and 8 on topological K-theory, triangulated categories, derived functors and the construction of an assembly map for quantum groups
  • Partner 3 on K-homology and relation to non-commutative metric spaces

Milestones:

Contribution to MF.1 and MD.2

Addresses: Research Objective 4 & 6

 

Task F.2. The Baum-Conjecture

á      Partners 3 & 8 on the Baum-Connes conjecture for groups constructed randomly, automota

á      Partners 3, 7 and 8 on relations between the Baum-Connes conjecture and C*-exactness

á      Partners 3, 7 and 8 on to compare the geometric picture of K-theory given by the Baum-Connes conjecture and the spectral picture given by representation theory

á      Partner 7 on the Baum-Connes conjecture for hyperbolic groups, and for groups of higher rank with property T

Milestones:

MF.1 and  contribution to MD.1

Addresses: Research Objective 4 & 6

 

Task F.3. The Novikov Conjecture

  • Partner 7 on the Novikov conjecture

Milestones:

Contribution to MF.1 and MF.2

Addresses: Research Objective 4 & 6

 

 



Work Package G : QUANTUM GROUPS

Leader: Partners 7 and 9

 

Task G1. Haar Measure

  • Partner 7 & 9 on the construction of Haar measure

Milestones:

MG.1

Addresses: Research Objective 7

 

Task G.2. Lie Quantum Groups

á      Partners 7 & 9 on the general theory of Lie quantum groups

Milestones:

MG.2

Addresses:  Research Objective 7

 

Task G.3. Discrete Quantum Groups

  • Partners 7 & 9 on the general theory of discrete quantum groups, including geometrical and combinatorial aspects
  • Partner 9 on their von Neumann algebras – exactness, factoriality, K-theory, K-amenability

Milestones:

MG.3

Addresses: Research Objective 1 & 7

 

 

Task G.4. Construction of natural actions

  • Partners 6, 7 & 9 on relations with subfactors, boundaries e.g. Poisson, Martin & Furstenberg and amenability
  • Partners 6 & 9 on classification of ergodic actions

Milestones:

MG.4

Addresses: Research Objective 1 & 7

 



Work Package H : APPLICATIONS TO NUMBER THEORY

Leader: Partners 6 & 7

 

Task H.1. Number theory applications

  • Partner 6,7 on generalizations of Bost-Connes systems to imaginary quadratic fields
  • Partner 7 on generalizations of Bost-Connes systems to any global function field k any place p of k
  • Partner 7 on generalisations of the Paugham-Ha constructions to the case of Shimura varieties
  • Partner 11 on connections between Farey spin chains, analytic number theory, AF-algebras and continuous fields of rotation algebras

Milestones:

MH.1 and contribution to ML.1

Addresses: Research Objective 8

 

 



Work Package I : ALGEBRAIC QUANTUM FIELD THEORY

Leader:  Partner 5  & 8

 

Task I.1. Conformal Quantum Field Theory and Vertex Operator Algebras

  • Partners 5 & 8 on relation between the vertex operator and algebraic approach to conformal quantum field theory
  • Partners 1, 5 & 8 on relations between boundary conformal field theory, modular invariance and non-local theories

Milestones:

MI.1

Addresses: Research Objective 9

 

Task I.2. Electric Charge, Quantum space time, Electrodynamics, Scaling limits

  • Partners 5 & 8 on describing superselection structure of quantum electrodynamics
  • Partners 5 & 8 looking for a new algebraic approach to gauge theories
  • Partners 5 & 8 on the Buchholz-Verch scaling
  • Partners 5 & 8 to develop  duality for quantum electrodymanics on quantum-space time
  • Partners 5 & 8 to look for index theorems for superselection sectors, to set up an algebraic model to study supersymmetry in the conformal case and build models
  • Partners 5 & 8 on constructing and analysing interacting quantum field theories on general curved space-time manifolds

Milestones:

MI.2 and contribution to ML.1

Addresses: Research Objective 9

 

Task I.3. Twisted Equivariant K-theory

á      Partners 1 & 3 on relations with modular invariants and subfactors

Milestones:

MD.3 and contribution to ML.1

Addresses: Research Objective 9

 



Work Package J : FUZZY PHYSICS

Leader: Partner 2

 

Task J.1. Fuzzy field theories and random matrices

  • Partner 2 to use fuzzy spaces as a tool in the study of non-perturbative physics of commutative and non-commutative field theories
  • Partners 2 & 8 to  compare predictions from renormalisation and numerical aspects,
  • Partners 2 &  8 to investigate the use of Gromov-Hausdorff distance for controlling convergence to limiting models
  • Partners 1,2,4,7 & 8 to investigate links between fuzzy physics and random matrices and with the possible limiting field theories and C*-classification questions

Milestones:

MJ.1

Addresses: Research Objective 1, 3 and 10

 

Task J.2. Supersymmetric Fuzzy Models

  • Partner 2 to study supersymmetric fuzzy models and with numerical simulations of matrix models

Milestones:

MJ.2

Addresses: Research Objective 10

 

 

 



Work Package K : STRINGS AND NONCOMMUTATIVE GEOMETRY

Leader:  Partner 1 and 2

 

Task K.1. Noncommutative Geometry and Strings

á      Partners 1, 2 and 3 to investigate Noncommutative Geometry and B-fields

  • Partners 1 and 2 to investigate Noncommutative Geometry and Mirror Symmetry
  • Partners 1 and 2 to investigate conformal field theory and Yangians
  • Partners 1, 2 and 6 study algebraic K-theory and the and the interplay between subfactor theory and conformal field theory
  • Partner 1 to study gauge theories on noncommutative spaces and understand locality and renormalisation

á      Partners 2 and 7 to investigate number theoretic aspects of string theory, Connes fusion and renormalisations of quantum field theory

Milestones:

MK.1 and contribution to ML.1

Addresses: Research Objective 11

 

 

 



Work Package L : ANALYSIS OF QUANTUM SYSTEMS

Leader: Partner 9

 

Task L.1. Quantum spin systems

  • Partner 9 on entropy and quantum information in the setting of quantum statistical mechanics and free probability, and variational principles and derivation of their Euler equations for the equilibrium states of quasi-free systems
  • Partner 9 to develop models for a small quantum system in interaction with an environment and investigate  ergodic properties beyond the Markovian approximation
  • Partner 9 to investigate entropic inequalities in the context of quantum channels

á      Partner 9 to study return statistics for quantum dynamical systems with good randomizing properties

  • Partner 9 to develop and analyze models of Bose condensates in interaction with radiation fields, e.g. to understand matter waves
  • Partner 9 to investigate limit theorems for quantum systems and the study of quantum fluctuations and collective excitations, spontaneous gauge and space translation symmetry breaking and the appearance of Goldstone bosons

 

 

ML.1 and contribution to MC.2

Addresses: Research Objective 3 and 12

 

Task L.2. Quantum Hamiltonians

á      Partner 11 on the interface between quantum Hamiltonians with magnetic fields and twisted groupoid algebras

Milestones:

Contribution to ML.1 and MF.2

Addresses: Research Objective 6

 

 

 

Scientific Milestones and Deliverables

 

Milestone

 

Partner

 

Month

Description

Comment

M A.1

4

24

Extend classification invariant to high dimensions and classify

Result task A.1

M A.2

3,4,7

24

UCT theorem for a category of algebras

Result task A.1

M A.3

4,7

48

Classification of non-simple nuclear C*-algebras

Result task A.1

M A.4

7

36

Grothendieck inequality for operator spaces and extension to noncommutative Lp spaces

Result task A.2

M A.5

1,5

12

Subfactor structure

Intermediate result of task A.3

M B.1

 

  

    10

12

Structure of invariant measures of hyperbolic systems

Intermediate result of task B.1, required to start task B.2

M B.2

7,10

36

Rigidity phenomena

Joint result of tasks B.1 and B.2

M C.1

4,7

36

Free Probability and Random Matrices

Result task C.1

M C.2

4,9

24

Free Entropy

Result task C.2

M C.3

5,11

12

Free Factors and Quantization

Result task C.3

M D.1

3,7,8

48

Bivariant K-theory for locally convex algebras

Result task D.1

M D.2

3,8

12

KK-theory as a triangulated category

Result Task D.2

M D.3

3,8

24

Equivariant K-theory and the UCT

Task D.3

M E.1

3,6,7,8

36

 Cyclic theory and index theory

Result task E.1

M F.1

3,7,8

36

Report on The Baum Connes conjecture

Result of task F.2

M F.2

3,7,8

   48

Interplay between Harmonic analysis and topology

Result of Tasks F.1, F.2 and F.3

M G.1

7,9

24

Construction of Haar measure on quantum groups

Result task G.1

M G.2

7.9

36

General theory of Lie quantum groups

Result task G.2

M G.3

7.9

48

General theory of Discrete quantum groups

Result task G.3

M G,4

6,7.9

12

Construction of quantum group actions

Result task G.4

M H.1

6,7,11

36

Noncommutative Geometry and number theory

Result task H.1

M I.1

5,8

12

Conformal QFT and Vertex Operator Algebras

Result task I.1

M I.2

5,8

36

Report on electric charge, quantum space time, electrodynamics and scaling limits

Result of task I.2

M J.1

2,8

36

Fuzzy field theories and random matrices 

Result task J.1

M J.2

2

12

Supersymmetric fuzzy models

Result task J.2

M K.1

1,2,3,

6,7

36

Report on Nocommutative Geometry and Strings

Result task K.1

M L.1

9,11

48

Report on analysis of quantum systems

Result of tasks L.1, L.2

M 1

1

12

Annual Activity and Management Report

 

M 2

2

12

Annual Meeting

 

      M 3

1

24

Annual Activity and Management Report

 

      M 4

1

24

Mid-Term Activity and Management Report

 

      M 5

All

24

Audit Certificates

 

M 6

3

24

Mid-Term Review and Annual Meeting

 

M 7

1

36

Annual Activity and Management Report

 

M 8

1

36

Annual Meeting

 

M 9

11

48

Final Meeting

 

M 10

1

48

Final Activity and Management Report

 

M 11

All

48

Audit Certificates

 

 

 

 

 

 

 

 

 

We plan to invite external experts to assist with the interdisciplinary aspects, or where there is a specific expertise missing in Europe.

 

Each year, one of the mini-workshops will form part of an annual network meeting. The network will organise a final network conference, which will be widely publicised and showcase the achievements of the network. This conference may involve the participation of scientists from other networks and from the wider scientific community. This meeting will be organised by Partner 11.

 

The Scientific schedule is diagrammatically explained in the following:


2. Training and Transfer of Knowledge (ToK)

 

The network as a whole undertakes to provide a minimum of 432 person-months of Early Stage and Experienced Researchers whose appointment will be financed by the contract. Quantitative progress on this, with reference to the table contained in Part C and in conformance with relevant contractual provisions, will be regularly monitored at the consortium level.

 

i) General Training and ToK

 

We plan to train a new generation of operator algebraists in Europe, excelling in a broad front of applications, and with connections to other thriving branches of mathematics and theoretical physics. The Network Training will be achieved by a combination of measures:

 

á      appointment of young researchers

á      focussed semesters

á      mini-workshops

á      annual meetings

á      network visits

 

In the first place we will appoint Early-Stage Researchers at the nodes. These young researchers will be working on specific projects (training-through-research) under the direct supervision of our senior researchers. We will exploit both the local possibilities and the collective multi-discipliniarity of the network as a whole to provide structured training courses through network wide training activities which we will call network workshops. These network workshops organised by senior network members will be backed up by annual meetings of the whole network. External experts will be invited when they can significantly add expertise missing in Europe.

 

Young researchers will be able to actively participate in these meetings. Furthermore young researchers and senior members will be engaged in other short visits between nodes, outside the organised workshops and annual meetings, to further collaborations and training. We will also encourage young researchers to attend conferences or short visits to other scientists in the field. We also support such short visits to scientists which are not directly part of the network, if we think that it may stimulate the research of the young researchers. This combination of measures will ensure that the research training will benefit more than the immediate group of young researcher appointments.

 

A typical Early-Stage Researcher will be funded at a single node, with positive encouragement given to secondment or shared appointees between nodes. This will facilitate interaction and the implementation of joint projects throughout the network, participating in the daily work at an institute. The ESRs will hold seminars, both on a local level and at other nodes of the network, where they will explain their ideas and their work, this way developing also their communication skills. The supervisors, in liaison, with scientific officials, will be responsible for organising invitations and secondments to other universities, ensuring that young researchers have ample opportunities to interact with members of the other teams. Typically, a young researcher will be exposed to a critical reading of recent publications of a team, and introduced to new research projects.

 

To establish and strengthen collaboration between the teams, as well as between the network and the wider scientific community we will organise scientific annual network meetings. These gatherings will also serve to assist longer term planning. External experts will be invited for specialist input into the joint-training programme - the network workshops and annual network meetings, using also additional resources or research grants such as Oberwolfach or programmes at ESI, Vienna. Young researchers will visit other nodes for a few days up to a few weeks, the duration and costs of which should be limited to less than those forseen for the secondment in compliance with the contract rules, to discuss specific questions in their work. In addition they will have the opportunity to communicate their results and discuss open problems at our regular workshops. We also encourage and promote young researchers to present their results at international conferences, as well to assist in the organisation of local meetings.

    

In the schedule below we describe the Focussed Semesters (FS) each of which will run at minimum one mini-workshop. The second semester of each year will be reserved for the annual meeting which will also be combined as a training event. In the case of the second year, the annual meeting will immediately be followed by the Mid-Term Review.

 

Training and Transfer of Knowledge Schedule

 

Month

Event

Milestones

Responsible

Participating

 

 

 

 

 

6

FS 1 : Ergodic Theory & Operator Algebras

MB.1, MB,2

Partner 10

Partners

1,3,4,5,6,9,10,11

12

FS 2 :

Fuzzy Physics

MJ.1, MJ.2

Partner 2

Partners

1,3,4,7,8

12

Annual Meeting

M1

Partner 2

Partners

1,2,3,4,7,8

18

FS 3 :

AQFT

MI.1, MI.2

Partner 5

Partners

1,2,5,7,8,9,10

24

FS4 :

K-theory, Number theory and NCG

MD.1, MD.2, MD.3, ME.1, MF.1, MG.4, MH.1

Partner 8

Partners

3,4,6,7,9,10,11

24

Annual Meeting

M2

Partner 3

Partners

4,6,7,8,9,10,11

24

Mid Term Meeting

M2

Partner 3

All Partners

30

FS 5 :

C*-classification, Free Probability and Random Matrices

MA.1, MA.2, MA.2, MA.3,

MA.4, MC.1,

MC.2, MC.3

Partner 4

Partners

1,2,3,4,6,7,8,9,11

36

FS 6 :

NCG, String Theory

& Twisted

K-theory

MK.1, MD.3,

ML.1

Partner 1

Partners

2,3,5,7,8,9,10,11

36

Annual Meeting

M3

Partner 1

Partners

2,3,5,7,8,10,11

42

FS 7 :

Quantum Groups

MG.1, MG.2,

MG.3, MG.4

Partner 7

Partners

3,4,5,6,9,11

48

FS 8 : Analysis of Quantum Systems

ML.1, MC.2,

 

Partner 9

Partners

1,2,3,5,7,8,10,11

48

Final Meeting

M4

Partner 11

All Partners

 

 

The Mid-Term review meeting will form part of the Second Annual meeting and is not regarded as a separate event or milestone.

 

ii) Training at local and network level

 

The network will arrange a number of activities bringing together the experienced senior researcher and the early-stage younger researcher. They will be geographically spread and focussed on topics arising from our network project. The network will organise network-workshops (mini-workshops) with one lead speaker (or occasionally two), selected among skilled communicators from the leaders in the field, who will give a series of talks over 4-5 days targeted at young researchers; these days will be held at regular intervals over the grant period and included in 8 focussed special semesters located at different nodes; 2 such semesters in each of the 4 years of the project will be organised, as detailed in the Training and ToK schedule of Section 2.i.

 

Early-Stage Researchers, under the guidance of Experienced Researchers will take notes of the lead speakers talks, turn these into written lecture notes and combine the whole series into one publication. These events of course will be open to interested participants from outside the network, which will maximise the training aspect of our network.

 

We will open up our local training programmes to other network teams to maximise added value - particularly those related to developing research skills, teaching skills, communication skills, IT skills, and career management. These skills are equally significant for the training and career development of recruited researchers who will pursue a career outside academia;  the Career Development Plans will place particular emphasis on this.

 

To assist with the training of Early-Stage Researchers, and with the transfer of knowledge and effective interaction between participants in the joint training project we will employ a limited number of Experienced Researchers. They will assist in the mentoring of Early-Stage Researchers, in passing on expertise and knowledge in the multi disciplinary aspects of the projects where individual nodes cannot provide expertise, and in exchanging knowledge with members of other network teams through undertaking visits and secondments and participating in the network workshops.

 

iii) Multidisciplinary Knowledge

 

Our training programme will give the young researchers an opportunity to get acquainted with different research environments and different perspectives for any given problem. Coordinated activities, taking advantage of the wide spectrum of expertise in the network will be used to give the young researchers in our field an advanced and broader training.

 

Early-Stage-Young-Researchers will not only make short visits to other teams but may be seconded for up to 30% of the total period of recruitment in order to develop an individual's programme when additional expertise from a second node is felt to be desirable for that individual. Such secondments will be arranged by the mentor in co-operation with the relevant Scientific Officials.

 

It is planned that such secondments and visits will bring the young researchers to the

Partner responsible for organising the Focussed Semester in order to fully benefit from the events organised during the semester. These Semesters will be well advertised in advance and also open to researchers not directly funded by the Consortium. Each mini-workshop will reflect the multidisciplinary aspect of the network and seek to give the young researchers a very broad training.

 

iv) Integration of Young Researchers

 

On appointment, a mentor will inform the young researchers of their contractual rights and obligations and possibilities to contribute to networking, training, events and conferences.

 

The young researchers will learn to be able to justify their own research to funding bodies, understand the processes for funding and evaluation of research, apply effective project management through the setting of research goals, intermediate milestones and prioritisation of activities, acquire the ability to critically analyse and evaluate their own findings and those of others, to summarise documents, report and reflect on progress, as part of acquiring complementary skills. To help coordinate these aims, each young researcher will develop their own Career Development Plan, under the guidance of the supervisor, to take ownership for and manage their own career progression, to set realistic and achievable career goals, and identify and develop ways to improve employability. This Career Plan will be intimately connected to the training opportunities provided by the network, enhancing local opportunities.

 

The networking of individual researchers will strengthen the bonds between teams and in particular give young researchers the opportunity to be exposed to the latest developments made in our field and be exposed to the multi-disciplinarity of the network. The consortium brings together groups with different backgrounds in mathematics and physics but with programmes and problems that are related in order to translate and address their respective conjectures and problems. The teams themselves will benefit from cross-fertilisation coming from long-term participation of young researchers with quite different scientific and cultural backgrounds. We will interact with other RTN's in similar or complementary fields for the exchange of best practice and transfer of knowledge.

 

v) Added value compared to previous RTN (QNSG HPRTN-CT-2002-00280)

 

New partners are:

á      ESI, Vienna – allows a systematic involvement in the research programmes of an international research institute. Moreover ESI brings in expertise in ergodic theory missing in previous networks.

á      K.U.Leuven – brings in the research group in the Theoretical Physics department providing expertise in quantum information theory, quantum dynamics and quantum spin systems. This is an area new to the network in the interaction between mathematics and physics.

This together, with the established nodes involving theoretical physicists to a greater degree, form an effective interdisciplinary consortium and interdisciplinary research training network.

 

3. Management

 

i) Organisational Structure

 

The scientific organisation of the network is managed and co-ordinated by a Scientific Committee consisting of senior scientists:

    

The Scientific Committee is responsible for the resource allocation to the teams, as well as the selection and location of the post-doctoral fellows, conferences and summer schools. The Scientific Committee will have overall responsibility for overall programme management, finance monitoring, resource utilization, quality assurance and reporting to the Commission.

 

The Scientific Coordinator is responsible for chairing the Scientific Committee, and for ensuring that the policy of the Scientific Committee is implemented. In this aspect, he is assisted by two Deputy Coordinators forming the Executive Committee who all serve on the Scientific Committee.

     

The practical organisation of workshops, conferences and summer-schools is managed by local committees. The Scientific Committee is balanced both geographically and with respect to the various subjects covered by the network. 

 

ii) Co-ordination and decision making process

 

The demarcation of responsibilities, delegation or distribution of tasks, rules for decision making, fair participation of teams following the principles of governance are to ensure that excellence is supported wherever it exists in order:

 

á      To establish strong research clusters consisting of individuals and groups based in different nodes

á      To promote excellence in training and research and teaching by focusing activities and fostering collaboration

á      To be instrumental in building up strengths in areas currently under-represented or even missing in Europe.

á      To set the framework and assure the funding for a sustainable network which will serve as a European centre for maintaining and enhancing excellence in noncommutative geometry.

á      To enhance the interaction between mathematicians and physicists

á      To support long-term, critical mass at the interfaces between the noncommutative geometry and physics.

á      To promote high risk, high return projects and collaborative research.

á      To encourage research networking that will promote dialogue between mathematicians, physicsts and the wider research community.

 

 The governance must balance the needs of an efficient day to day management of operations with accountability to all its members and stakeholders. EU-NCG works in practice to deliver training in noncommutative geometry more efficiently and effectively across the Community, sharing knowledge and skills, ensuring equitable access to programmes, and helping graduates achieve a broader skills base that better meets their career needs.

 

The Scientific Committee, and the accountability of the Coordinator, and Executive Committee to the Scientific Committee will ensure that the management structure is democratic but decision-making is effective and equitable. In order to address stakeholder issues - the Scientific Committee will ensure that stakeholders have a say in all major decisions via regular reports, meetings etc.

 

Further to the role of the coordinator defined in the core contract and in accompanying Annexes II and III, the coordinator will provide a link between contractors and the Commission; carry out the financial management of the project funds keeping overall, management-level project accounts and ensure the signature of the contract by all contractors.

 

In addition, the participants will carry out and monitor work; name the person in control, and advise of changes; provision of required information; participation in relevant meetings; avoid and advise of incompatible commitments; adhere to fundamental ethical principles; and promote equal opportunities.

 

The Executive Management Committee is responsible for the day to day business. In this way, the Co-ordinator plus deputies share responsibilities and burden. The Executive Committee steers training activities; is responsible for the repartition of funds, which must also be flexible and deals with modifications/progress. Moreover the Scientific Committee will ensure early and effective definition of dissemination plan e.g. websites, publications including the lecture notes produced by the young researchers as well as overseeing an annual independent evaluation of the training programme. The Scientific Committee delegates via task and group leaders and node coordinators the organisation of the network events, including the focussed semesters and mini-workshops. The task leader is responsible for the scientific side and the node coordinator for the logistical aspects - although often these roles coincide.

 

To each pre-doc and post-doc appointee is assigned a local senior scientist, who acts as an advisor and mentor and facilitates the inclusion of the appointee in the local team. The mentor in co-ordination with scientific officials is responsible for arranging training visits to other nodes and attendance at workshop meetings and workshops, and also provides information about the network contract (including rights and obligations, opportunities etc.). The mentor in co-ordination with local teams will give assistance with living requirements of researchers. We will ensure trainees themselves are represented at Scientific Committee Meetings and in the planning stages of events.

 

iii) Communication Method

 

Effective Networking is managed by a combination of measures and strategies involving group leaders, node coordinators and mentors working together. The group or task leaders are responsible for the scientific organisation of the focussed semesters and mini-workshops - in coordination with the node leaders who are responsible for the logistical organisation. The Scientific Committee is responsible for the overall programme, the scientific balance and geographical spread. The web pages of the network will include bulletin boards with recent results, preprints and upcoming events, with links to all our nodes and information on our scientific activities and relations to those of other groups or networks. In order to have an effective means of communicating events, and advertising positions, all important information for the running of the project and an emailing list will be advertised on our web page. We will interact with other RTN's in similar or complementary fields for the exchange of best practice and transfer of knowledge.

 

iv) Task Delegation Policy

 

Task managers appointed by the Scientific Committee, will delegate to the Participants according to local expertise and capacity to perform the work packages according to the principles of governance described in ii).

 

vi) Vacancies Strategy

 

The Network will recruit the strongest qualified candidates, and promote excellence wherever it is found. The recruitment strategy will involve Commission sites (http://cordis.europa.eu/mc-opportunities), academic networks and their sites, the EU-NCG electronic mailing list.

 

The application procedure will be transparent, with clearly stated deadlines and conditions. It will be overseen by the Scientific Committee.

 

vi) Equal Opportunities Measures

 

We will apply the Equal Opportunity Policies in our member institutions. In practice this means:

 

Recruitment and Selection and Admission

á      recruitment advertising will encourage applications from all sectors of the community reflecting our Universities and Commission's commitment to equality and diversity;

á      recruitment advertising will appear in publications appropriate to the audience capable of producing the best candidates;

á      job descriptions, person specifications and recruitment advertisements will be written on the basis of the essential and justifiable requirements of the position;

á      shortlisting, appointment and rejection decisions will be transparent and justifiable and will be supported by written comments;

á      all information contained in prospectuses, websites and other material used in the recruitment of researchers should promote equality of opportunity and make reference to this policy;

á      all staff involved in the recruitment, selection and admission of researchers will have an awareness of equality and diversity.

Assessment, Grading and Promotion (e.g. from Early Stage to Experienced Researcher)

á      there will be clear, consistent and transparent criteria for student assessments and all assessments will take place on an equal opportunities basis;

á      all grading and promotions criteria and procedures will be free from prejudice and must be applied equitably and consistently;

Personal Development

á      all researchers will have equal access to induction, personal and career development opportunities and facilities.

Performance Management

á      probation and appraisal procedures will be clear and transparent and will be applied fairly across all researchers

Career Planning and Participation

á      all researchers will have access to career planning support and will be encouraged to participate fully in the academic, cultural and social life of the Universities.

Gender issue

á         Special measures will be taken to attract female candidates. The network will keep track of all female doctoral students, postdoctoral researchers and senior researchers in the participating themes. The network will ensure that these women researchers are visible within the network, that they know each other and that they are invited to give talks both at network meetings and at other teams of the network.

 

vii) Monitoring and Reporting Procedures

 

The project is under the overall monitoring of the Executive Committee. The project manager will coordinate the submission of the Annual Reports and Mid-Term Report in preparation for the Mid-Term Meeting, and the Final Report

 

viii) Dissemination of Results Policy

 

Results are disseminated by a number of methods, for the network, subject groups, nodes and by individuals. As a Network, we will publicise and discuss our results in the workshops, on our network web page. The network workshops will also have lecture notes, produced by the young researchers as part of their training, under the direction of the lecturers and subject group leaders. These notes will also be available on our web pages, and so enhance the training aspect by reaching the general scientific community beyond our own members and workshop participants. The dissemination of the results by individuals is achieved partially by distribution of preprints, by presentations at meetings and conferences, but also by the preprint servers. To further enhance the training aspect, review articles disseminate results beyond the experts to the general scientific community.

 

ix) Financial Management and Control

 

The management budget will be used to contribute towards the salary of a full time project manager for the management of the project, as well for contributing to any costs related to the auditing and audit certificates for each partner. The financial situation for the partners will be reviewed annually and if needed, readjustments will be decided in communication and agreement with the Commission services. The (CO) together with the Executive Committee will ensure that proper financial management and control is kept. The partners will obtain Audit Certificates every 24 months and submit them to the European Commission along with the annual reporting deliverables

 

4. Indicators of Progress and Success

 

4.1 Quantitative Indicators of progress and success to be used to monitor the project

 

4.1.1 Research Activities

In reporting on progress with the implementation of its research plan the network will provide information and data on the following:

¥ organisation of or participation in and presentations to external specialist workshops and conferences (number; dates, places, title of event)

¥ specialist exchange among network teams (number, nature, when, where, who)

¥ individual and joint publications, directly related to the work undertaken within the contract (number, references)

¥ patents or patent applications directly related to the contract (number, references)

¥ development of new scientific and/or industrial collaborations (number, references)

¥ scientific awards and prizes obtained from the work directly related to the contract (number, details)

¥ interest expressed in the networksÕ dedicated Website (number of hits; number of participants to the scientific forum, if any)

¥ visit of Senior Researchers from inside and/or outside the network (number, name, place and time of visit)

¥ contacts with relevant users groups whether academic or industrial/commercial (number, name)

 

4.1.2 Training / Transfer of Knowledge (ToK) Activities

In reporting on progress with the implementation of its training and ToK Plan the network will provide information and data on the following:

¥ the rate of recruitment of ESR and ER for each participant and for the network as a whole (ratio person-months filled/offered)

¥ the nature and justification for adjustments, if any, to the original overall number of person-months of ESR and ER as well as to the breakdown of this overall number among the participants (see table contained in Part C)

¥ the time and duration of each individual appointment.

¥ the number, names and level of involvement of senior researchers directly associated with the tutoring/supervision of the recruited ESR or ER, at each participant

¥ the number of ESR that are expected to present their PhD thesis and when

¥ the number and place of the short visits and secondments, placement in company premises undertaken by each individual ESR or ER either within or outside of the network

¥ number of visits of the ESR and ER to their home scientific community

¥ attendance at network meetings by the ESR and ER (number, names, place, date)

¥ participation in and presentations to workshops and conferences by ESR and ER (number, names, place, date)

¥ organisation of training events (e.g. schools, training workshop/seminar, hands-on training session on specialised instrument/techniques) at individual participant sites (number, attendees' names, place, date)

¥ organisation of network-wide training events (number, attendees' names, place, date)

¥ participation in training events organised outside the network (number, attendees' names, place, date)

¥ number of internet tutorial and computer based training courses developed/used

¥ number, place, purpose of any meeting (e.g. workshop) organised by the ESR or ER themselves

 

4.2 Qualitative Indicators of progress and success to be used to monitor the project

 

4.2.1 Research Activities

In reporting on progress with the implementation of its research plan the network will provide information and data on the following:

¥ general progress with research activities programmed at individual,  participant team and network level

¥ highlights on more particularly innovative developments (novel concepts, approaches, methods and / or products)

¥ citation index for individual and joint publications directly related to the work undertaken within the contract

¥ expected scientific / technological breakthroughs

¥ overall progress and possible problems encountered with individual work packages and/or network-wide research activities

¥ nature and justification for adjustments, if any, to the original research work plan and/or timetable

¥ progress on cross interaction among disciplines represented within the network

¥ progress on cross interaction between academic and industrial partners

¥ progress regarding interaction with industrial/commercial/economic interests outside the network

¥ access to / use of state-of-the-art infrastructure and facilities

¥ highlights on wider societal and/or ethical components of the project, such as public outreach activities

¥ highlights on the scientific community recognition of the network research contribution (awards, invitation to conferences, É)

 

4.2.2 Training / Transfer of Knowledge Activities

 

In reporting on progress with the implementation of its training plan and ToK the network will provide information and data on the following:

¥ general progress with training and ToK activities programmed at individual, participant team and network level (type of guidance, supervision, coaching or mentoring in place to support ESR and ER)

¥ highlights on the development of more particularly innovative approaches to training and ToK (e.g. specific training packages of network-wide relevance)

¥ highlights on the exploitation of the "complementarities" between network participants with respect to training and ToK

¥ nature and justification for adjustments, if any, to the original training / ToK plan and/or timetable (e.g. opportunities for new collaborations regarding training activities)

¥ career development plans as elaborated by the ESR and ER involved in the project

¥ career development opportunities/prospects for ESR and ER involved in the project

¥ achievements regarding the acquisition of complementary skills such as communication, language skills, computer skills, project management, ethics, team building, etc.

¥ achievements regarding the training/ToK on specialised

  instruments/equipment's

¥ level of satisfaction of the trainees (e.g. as expressed in response to questionnaires)

 

4.2.3 Management

In reporting on progress with its management the network will provide information and data on the following:

¥ effectiveness of the "internal" communication and decision making between the co-ordinator, team leaders, supervisors, down to the ESR and ER, including feedback processes

¥ effectiveness of the communication between the network and the Commission Services (frequency, efficiency, timely feedback), particularly regarding the conformance with contractual provisions and the implementation of contingency plans where needed

¥ effectiveness of network communication with industrial and other stakeholders (anticipation of outcomes and possible end-users interests, contact preparation, follow-up and contractual agreement where appropriate)

¥ network self-assessment through benchmarking activities (exchange of best practices among participants and/or development of ad hoc performance indicators regarding cost management, staff selection, measurement of research/training/ToK outputs, young researchersÕ involvement, etc.)

¥ overall quality and efficiency of the "external" communication strategy of the network (Cordis; personal, team and network web sites updates; newsletters; etc.)

¥ effectiveness of the recruitment strategy of the network in terms of equal opportunities (including gender balance) and open competition at international level

¥ development of any specific planning and management tool(s) and databases

¥ management of intellectual property and commercialisation of network research output

 

 

 

 


 

 

PART C: CONTRACT DELIVERABLES (from A4b of the CPF forms)

 

Proposal Number

031962

Proposal Acronym

EU-NCG

 

Overall Indicative Project Deliverables by Participant

Participant No.

Early Stage Researchers

 

Experienced Researchers

(4-10 years – MCRTN only)

Full-time Person Months

Indicative number of researchers

Type B Fellowship (%)

Full-time Person Months

Indicative number of researchers

Type B Fellowship (%)

1

36

1

0%

8

1

0%

2

36

1

0%

8

1

0%

3

24

2

0%

8

1

0%

4

24

2

0%

8

1

0%

5

36

1

0%

8

1

0%

6

12

1

0%

0

0

0%

7

72

2

0%

18

2

0%

8

36

1

0%

8

1

0%

9

24

2

0%

8

1

0%

10

24

2

0%

6

1

0%

11

24

2

0%

4

1

0%

Sub-Total

348

17

 

84

11

 


 

 

 

 

PART D: COMMUNITY CONTRIBUTION (from A5b of the CPF forms)

 

 

Proposal Number

031962

Proposal Acronym

EU-NCG

 

Overall Maximum Community contribution

 

Eligible expenses for the activities carried out by the researchers

Eligible expenses related to the activities of the host organisations

Maximum EC contribution

Year

-A-

Monthly Living Allowance

Transnational Mobility

-D-

Career Exploratory Allowance

-E-

Participation expenses of the eligible researchers

-F-

Research/ training/ transfer of knowledge

-G-

Management and Audit Certification

-H-

Overheads

-I-

Other types of eligible expenses

-B-

Travel Allowance

-C-

Mobility Allowance

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

Costs

(in euros)

 

(in euros)

1

290355

11000

71154

18000

39200

116900

46915

54661

0

648185

2

431710

13000

103024

6000

56400

133550

48394

74368

0

866446

3

340356

10000

83034

4000

44800

135350

49846

61754

0

729140

4

226888

6000

54003

6000

32400

136969

51040

46226

0

559526

5

0

0

0

0

0

0

0

0

0

0

6

0

0

0

0

0

0

0

0

0

0

 Total

1289309

40000

311215

34000

172800

522769

196195

237009

0

2803297