ncku-talk2011-09-30

NCTS(South)/ NCKU Math Colloquium

DATE 2011-09-30　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Dr. Tomoo Matsumura （KAIST, Korea）

TITLE Moment Angle Complex and Integral Cohomology of Toric orbifolds

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)

NCTS(South)/ NCKU Math Colloquium

DATE	2011-09-30　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Dr. Tomoo Matsumura （KAIST, Korea）

TITLE	Moment Angle Complex and Integral Cohomology of Toric orbifolds

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)