Сью Като: A closer look on semi-infinite flag manifolds

Анонс:
Semi-infinite flag manifold is a variant of affine flag manifold introduced by Feigin and Frenkel around 1990. From the beginning, it is known to carry information on representation theory of affine type, typically seen in the representation theory of affine Lie algebras at the critical level. However, not much was (widely) known about its algebro-geometric structure on that. In particular, the Borel-Weil theorem in this context (due to Braverman-Finkelberg) was not known until 2014.

In this talk, I will start from reviewing some classical results in the geometry (and representation theory) of finite (=usual) flag manifold and explain how it extends to the setting of (some variants of the) semi-infinite flag manifolds.