Posted in
Speaker:
Ivan Penkov
Affiliation:
Jacobs University Bremen
Date:
Tue, 30/04/2019 - 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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