SUMMER SCHOOL
Geometry of tensors and applications
14.-18. June 2010
Sophus Lie Conference Center, Nordfjordeid,
Norway
Lecturers:
Joseph M. Landsberg (Texas A&M), Giorgio Ottaviani (Firenze), Jerzy
Weyman (Northeastern)
Organizing committee:
G. Fløystad (Bergen), K. Ranestad (Oslo), T. Johnsen
(Tromsø), Sverre Smaløe (Trondheim)
Sponsors: University of Bergen, University of Oslo, NTNU, University of
Tromsø
There will be three lecture series
and extensive problem sessions:
Joseph M. Landsberg: Tensor decompositions and applications
Introduction to tensors from a geometric perspective.
Blind source separation in signal processing.
Applications to statistics, cumulants.
Uniqueness of tensor expressions (Kruskal's theorem, weak defectivity).
Giorgio Ottaviani: Tensors and classical algebraic
geometry
Equations for secant varieties and their use for tensor decomposition.
Decomposition of real tensors.
Connections with classical algebraic geometry.
Lecture notes
Jerzy Weyman: Representation theory of tensors
Root systems and simple Lie algebras.
Kac's classification of representations with finitely many orbits.
Examples involving tensors and exterior powers.
Vinbergs' method of classifying orbits.
Ideals, syzygies and applications.
Lecture notes
Tentative program schedule
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Location:
The school will be held at Sophus Lie Conference Center in Nordfjordeid.
Nordfjordeid,
the birthplace of Sophus Lie, is a
small town in the fjords of the west coast of Norway, halfway between
Bergen and Trondheim.
The Conference Center is located at Fjordane Folkehøgskule,
situated just
above Nordfjordeid, where the valley meets the fjord.
Local guides will advice the participants on hikes in the nearby mountains.
Arrival: Sunday evening 13. or Monday morning 14. June
Departure:Friday evening 18. or Saturday morning 19.
June.
How to arrive: For detailed travel information consult the home page
of the conference center at
http://www.math.uio.no/nordfjordeid/nordfjord.html
The following are the main possibilities:
a) By Plane: The natural place to fly to is Orsta Volda (HOV) via
Oslo or Bergen (The airport Sandane is closed for upgrading this summer).
This airport is 80 minutes away from Nordfjordeid by bus (the local bus
service).
b) By Bus: There is relatively good bus service between Oslo
and Nordfjordeid, and Bergen and Nordfjordeid, but it takes 9 and
6 hours respectively.
c) By Boat and Bus: There is also a good express boat service between
Bergen and Måløy, with bus connection between
Måløy and
Nordfjordeid, it takes about 5 hours altogether.
Weather: The weather is fairly unstable at Nordfjordeid.
From cold, rain and wind
to sunny and warm. The temperature is seldom below 10 and go up to 25 if
we
are lucky.
It is advisable to bring a sweater and a jacket.
Registration fee: 200 NOK. The registration fee is
payable at arrival (no credit cards).
Accomodation
The participants will be accommodated at the Sophus Lie Conference
Center in single and double
rooms. The center has nine pavilions, each pavilion has 4 double rooms and
2 single rooms and one shared bathroom.
The cost for room and full board (three meals) pr person/night in a double
room is
NOK 465, for single room this cost is NOK 515.
Registration deadline is May 1st 2010
For registration and further
information please contact
Ragnar Pettersen, Dep. of Math., Boks 1053 Blindern, N-0316 Oslo, Norway.
e-mail:ragnarep at math.uio.no
Redaksjon:
ranestad at math.uio.no
8.01.2010