SCIENTIFIC PROGRAMS AND ACTIVITIES

September  2, 2014

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

January–June 2013
Thematic Program on Torsors, Nonassociative Algebras and Cohomological Invariants

THEMATIC PROGRAM VISITORS SEMINARS
Stewart Library

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