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Linear flag ind-varieties

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Ivan Penkov
Jacobs University Bremen
Tue, 2019-04-30 14:00 - 15:00
MPIM Lecture Hall

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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