Posted in

Speaker:

Ivan Penkov
Affiliation:

Jacobs University Bremen
Date:

Tue, 2019-04-30 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics About two decades ago, Ivan Dimitrov and I defined ind-varieties of generalized flags. These varieties are nothing but

G/P for G=GL(infty) and a parabolic subgroup P of G. In this talk I would like to explain that the ind varieties of

generalized flags can be alternatively defined in a purely algebraic-geometric fashion as direct limits of linear

embeddings of usual flag varieties. The fact that the so-defined ind-varieties are homogeneous ind-spaces for

GL(infty) is then a consequence of the comparison theorem.

This theorem has also analogs for varieties of isotropic flags. Joint work with A. S. Tikhomirov

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