Title: Moment Angle Complex and Integral Cohomology of Toric orbifolds

Speaker: Professor Tomoo Matsumura (KAIST, Korea)

Time: Thursday October 27, 2011, 15:00-17:00 pm

Venue: Room 09 at Quan-Zhai ( 全斋), New location for BICMR, Peking University

Abstract: The moment-angle complex Z_K was introduced by Buchstaber and Panov as a disc-circle decomposition of the Davis-Januszkiewicz universal space associated to a simplicial complex K where they defined a quasi-toric manifold as a partial quotient of the moment angle complexes associated to a simple polytope. In this talk, after (1) a brief introduction to the subject, I will talk about(2)"Cohen-Macaulayness" of the Stanley-Reisner ring in terms of equivariant cohomology of partial torus action on Z_K and (3) connected sums of simplicial complexes. (This is a joint work with Shisen Luo, Frank Moore)