slideshow 3

Cohomology in algebra, geometry, physicsand statistics

Using first and second nonabelian Galois cohomology for classifying real orbits in homogeneous spaces of real algebraic groups

Speaker’s name: 
Mikhail Borovoi
Speaker’s affiliation: 
Tel Aviv University

 

Place: 
ZOOM meeting
Date: 
Wednesday, 13. October 2021 - 11:30 to 12:30
Abstract: 
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