The equivariant cohomology rings of Hermitian symmetric spaces and an analogue of Monk’s formula

開催日時
2015/10/26 月 15:00 - 16:30
場所
6号館609号室
講演者
佐藤敬志
講演者所属
京都大学
概要

We can analyze geometrical properties of manifolds with a good torus action by the GKM theory. In particular, the GKM theory says that the equivariant cohomology ring of such space is determined by the subspace consisting of fixed points and 1 dimensional orbits, and we can calculate the equivariant cohomology form this subspace combinatorially. In this talk, I show some properties of the equivariant cohomology of Hermitian symmetric spaces and an analogue of Monk’s formula which shows some of the Schubert structure constants.