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Cohomology in algebra, geometry, physics and statistics

usually takes place every Wednesday at 11:30 AM Institute of Mathematics of ASCR, Žitná 25, Praha 1, konírna
Chair: Anton Galaev, Roman Golovko, Igor Khavkine, Alexei Kotov, Hong Van Le and Petr Somberg

In this seminar we shall discuss topics concerning constructions and applications of cohomology theory in algebra, geometry, physics and statistics. In particular we shall discuss in first four seminars the relations between vertex algebras and foliations on manifolds, Gelfand-Fuks cohomology on singular spaces, cohomology of homotopy Lie algebras. The expositions should be accessible for all participants.

TBA
Jean-Pierre Magnot
University d'Angers, France
Wednesday, 27. October 2021 - 11:30 to 12:30
in IM building, ground floor
TBA

TBA
Kaoru Ono
RIMS, Kyoto
Wednesday, 20. October 2021 - 11:30 to 12:30
ZOOM meeting
TBA

Using first and second nonabelian Galois cohomology for classifying real orbits in homogeneous spaces of real algebraic groups
Mikhail Borovoi
Tel Aviv University
Wednesday, 13. October 2021 - 11:30 to 12:30
ZOOM meeting
Let G be a real algebraic group and Y be its real homogeneous space, say an orbit of the complex group G(C), stable under the complex conjugation, in a linear representation of G. We wish to find a real point in Y or to prove that Y contains no real points. We arrived at this problem when classifying trivectors on R^9. I will explain a method of solving it using second (nonabelian) Galois cohomology.
No preliminary knowledge of Galois cohomology (first or second, abelian or nonabelian) is assumed.

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ZOOM meeting shall be opened at 11.20
 

TBA
Jules Martel
Max-Planck-Institute for Mathematics, Bonn
Wednesday, 6. October 2021 - 11:30 to 12:30
ZOOM meeting
TBA

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