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21.08.2018
“Real models of spherical homogeneous spaces”

“Real models of spherical homogeneous spaces”

Mikhail Borovoi (Tel Aviv University)

Joint Modern Algebra and Applications lab and Chebyshev lab Colloquium

Thursday August 23, 17:15 room 413 (14-th line V.I., 29)

Let G be a connected reductive algebraic group over the field of complex numbers C. Let Y=G/H be a spherical homogeneous space of G (a homogeneous space of special kind). Let G_0 be a real model (real form) of G, that is, a model of G over the field of real numbers R.
In the talk I will discuss the following question: does there exist a G_0 -equivariant real model Y_0 of Y? This is interesting even in the case when G=G’xG’, where G’ is a connected semisimple group over C, and H=G’ embedded diagonally into G’xG’.
No preliminary knowledge of spherical varieties will be assumed.

Abstract