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Séminaire de Mathématique

Real Galois cohomology of semisimple groups

by Prof. Mikhail BOROVOI (Tel Aviv University & IHES)

mercredi 27 avril 2016 de au (Europe/Paris)
at IHES ( Amphithéâtre Léon Motchane )
Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
In a 2-page note of 1969, Victor  Kac described automorphisms of
finite order of simple Lie algebras over the field of complex numbers
C. He used certain diagrams that were later called Kac diagrams. In
this talk I will explain the method of Kac diagrams for calculating
the Galois cohomology set  H^1(R,G)  for a connected semisimple
algebraic group G (not necessarily simply connected or adjoint) over
the field of real numbers R.  I will use real forms of the half-spinor
group of type D_{2n} as  examples.

This is a joint work with Dmitry A. Timashev.
Organisé par Ofer Gabber
Contact Email: cecile@ihes.fr