Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Ivan Penkov
Affiliation:

Jacobs University Bremen
Date:

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

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/5312