Cohomology in algebra, geometry, physicsand statistics

Using second Galois cohomology to search for a real point in a real homogeneous space

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 11.15  and closed at  1 PM.

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https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09

Meeting ID: 995 9841 3922

Passcode: Galois