## 幾何学コロキウム 「Moment Angle Complex and cohomology of toric orbifolds」

2011年 　 7月 22日 16時 30分 ～ 2011年 　 7月 22日 18時 00分

Abstract: The moment angle complex associated to a simplicial complex
is a topological space with a torus action whose (equivariant)
cohomology is used to study the combinatorial structure of the
simplicial complex, topologically and algebraically. On the other
hand, it is also a generalization of the level sets in the
construction of symplectic toric manifolds. In this talk, after (1) a
brief introduction to the subject, I will talk about  (2) algebraic
properties of cohomology of toric orbifolds and (3) connected sums of
simplicial complexes and the cohomology of corresponding moment angle
complexes.


Abstract: The moment angle complex associated to a simplicial complex
> is a topological space with a torus action whose (equivariant)
> cohomology is used to study the combinatorial structure of the
> simplicial complex, topologically and algebraically. On the other
> hand, it is also a generalization of the level sets in the
> construction of symplectic toric manifolds. In this talk, after (1) a
> brief introduction to the subject, I will talk about  (2) algebraic
> properties of cohomology of toric orbifolds and (3) connected sums of
> simplicial complexes and the cohomology of corresponding moment angle
> complexes.
Abstract: The moment angle complex associated to a simplicial complex
> is a topological space with a torus action whose (equivariant)
> cohomology is used to study the combinatorial structure of the
> simplicial complex, topologically and algebraically. On the other
> hand, it is also a generalization of the level sets in the
> construction of symplectic toric manifolds. In this talk, after (1) a
> brief introduction to the subject, I will talk about  (2) algebraic
> properties of cohomology of toric orbifolds and (3) connected sums of
> simplicial complexes and the cohomology of corresponding moment angle
> complexes.