| 31. August |
Algebra lunch and planning session
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| 7. September |
Jan Christophersen (Oslo)
Ekvivelære trianguliseringer av
torusen og abelske flater I
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| 14. September |
Kristian Ranestad (Oslo)
En geometrisk karakterisering av Hankel-underrom
Sammendrag:
Hvis r < d så definerer radene i (r x d)-matrisa (a_i,j) der a_i,j=a_i-j et
underrom av P^(d-1). Ved hjelp av apolaritet og projeksjoner av en
rasjonal normal kurve vil jeg karakterisere disse underrommene.
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| 21. September |
Lunch
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| 28. September |
Lunch
The Geometry seminar
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| 5. October |
Jan Christophersen (Oslo)
Ekvivelære trianguliseringer av
torusen og abelske flater II
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| 12. October |
Michal Kapustka (Krakow/Oslo)
Unprojections and Mukai varieties
Abstract:
Mukai varieties M_g are key varieties for the description of canonical
embeddings of curves of genus g<11. I shall present them using equations
and use this presentation to prove that the projection of a general nodal
linear section of the variety M_g is a linear section of M_{g-1}. This
may be used to construct cascades of K3 surfaces, Fano and Calabi-Yau
threefolds, and give a description of some Moduli spaces of bundles on
them.
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| 19. October |
Lunch
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| 26. October |
Nelly Villamizar (Oslo)
Edwards coordinates for elliptic curves
Abstract:
Every elliptic curve over a field of characteristic different
from 2 is birationally equivalent to a curve in Edwards form
x^2+y^2=1+dx^2y^2. Some elliptic curves require a field extension for the
transformation, but in many cases the transformations are defined over the
original field. One reason for the great interest in Edwards curves is that
the Edwards addition law is strongly unified: it applies to doubling points
as well as to general addition, unlike the usual Weierstrass addition law.
Strongly unified addition formulas had previously been published but the
Edwards formulas are considerably faster. I have been studying the Edwards
form from a more geometric point of view and that is what I will present in
the talk.
|
| 2. November |
Lunch
|
| 9. November |
Lunch
|
| 12.-13. November |
Nasjonalt algebramøte
|
| 16. November |
Lunch
|
| 18. November |
NB! Venue: Høgskolen i Oslo, Pilestredet 35. Time: 12.30 (lunch 11.30, 9. floor)
Uwe Nagel (Kentucky)
Results and open problems in liaison theory
Abstract:
Liaison theory originated from the idea to study a curve by relating
it to a simpler curve. Nowadays it may be considered as a
classification theory for curves, surfaces, etc. In the talk we will
introduce the basic concepts, discuss some classical and recent
results, and conclude the description of the state of the art by
describing some open problems.
|
| 23. November |
Lunch
|
| 30. November |
Lunch
|
| 7. December |
Jan Christophersen (Oslo)
Milnor fibere til sykliske kvosient singulariteter og fylte linserom
|
| 14. December | Lutefisk-seminar
13.15-14.15: Gregory G. Smith (Queen's University)
Tangential schemes of determinantal varieties Abstract:
The n-th jet scheme of a variety encodes the n-th order Taylor
expansions of functions on the variety. The jet schemes associated to
the varieties of matrices of a given rank are cut out by a relatively
simple and explicit collection of polynomials. In this talk, I give
an overview of the geometric properties of these jet schemes. I will
also describe the minimal free resolution for the coordinate ring of
some 1-st jet schemes. 14.30-15.15: Ulf Persson
(Chalmers) Familjer av trianglar med given inskriven och
omskriven radie. Ett specialfall av Poncelet.
19.30: Lutefisk at Rorbua, Aker Brygge.
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