Cohomology representations of toric manifolds associated to some simple graphs

Date: 
2016/06/30 Thu 16:30 - 17:30
Room: 
Room 809, Building No.6
Speaker: 
Miho Hatanaka
Affiliation: 
Osaka City University
Abstract: 

We can construct toric manifolds from simple graphs. The automorphism group of a simple graph induces a representation on the cohomology ring of the toric manifold associated to the simple graph. The automorphism group of a complete graph is a symmetric group. Procesi described the cohomology representation when the simple graph is a complete graph. In this talk we take a graph obtained by removing an edge from a complete graph and describe the associated cohomology representation.