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

Date: 
2015/10/26 Mon 15:00 - 16:30
Room: 
Room 609, Building No.6
Speaker: 
Takashi Sato
Affiliation: 
Kyoto University
Abstract: 

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.