| Upcoming Seminars |
| TBA |
| Past Seminars |
February 4
Monday |
Michael Brion, Grenoble
Structure of (possibly non-linear) Algebraic Groups, Part 1 |
February 8
Friday |
Michael Brion, Grenoble
Structure of (possibly non-linear) Algebraic Groups, Part 2 |
February 11
Monday |
Nikita Karpenko (Université Pierre et Marie
Curie)
Incompressible varieties |
March 5
Tuesday |
Erhard Neher (Ottawa)
Invariant bilinear forms of algebras given by faithfully flat descent |
March 12, 1:30p.m.
Tuesday |
Detlev Hoffmann (Technische Universität Dortmund)
Bilinear forms, differential forms and Milnor K-theory under field
extensions
|
March 14, 3:00p.m.
Thursday |
Kirill Zainoulline (Ottawa)
Formal group laws, Hecke algebras and Oriented cohomology theories
I
(This talk is part of the Geometric Representation Theory Seminar) |
March 15, 3:30-4:00p.m.
Friday |
Kirill Zainoulline (Ottawa)
Formal group laws, Hecke algebras and Oriented cohomology theories
II
(This talk is part of the Geometric Representation Theory Seminar)
|
March 15, 4:00-4:30p.m.
Friday |
Alexander Neshitov (Ottawa)
Oriented cohomology of algebraic groups |
April 2, 3:30p.m.
Tuesday |
Olivier Mathieu (Lyon)
A global version of Grozman's Theorem |
April 9, 3:30p.m.
Tuesday |
Vladimir Chernousov (Alberta)
On conjugacy of Cartan subalgebras in Lie tori |
|
April 16, 3:30p.m.
Tuesday
|
Kirill Zainoulline (Ottawa)
Exceptional collections of line bundles on projective homogeneous
varieties
The existence question for full exceptional collections in the bounded
derived category of coherent sheaves of a smooth projective variety
X goes back to the foundational results of Beilinson and Bernstein-Gelfand-Gelfand
when X is the projective space. The works of Kapranov in 80's suggested
that the structure of projective homogeneous variety on X should imply
the existence of full exceptional collections. We construct new examples
of exceptional collections of line bundles on the variety of Borel
subgroups of a split semisimple linear algebraic group G of rank 2
over a field. We exhibit exceptional collections of the expected length
for Dynkin types A2 and B2=C2 and prove that no such collection exists
for type G2. This settles the question of the existence of full exceptional
collections of line bundles on projective homogeneous G-varieties
for split linear algebraic groups G of rank at most 2.
This is a report on the joint paper with A.Ananyevskiy, A.Auel and
S.Garibaldi.
|
|
April 23, 3:30p.m.
Tuesday
|
Baptiste Calmès (Université
d'Artois)
Equivariant oriented cohomology theories |
