## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Convex polytopes and its applications

#### Abstract :

A convex polytope is a convex hull of finitely many points in a Euclidean space. An n-dimensional convex polytope is called simple if at every vertex of the polytope exactly n many facets meet where facets are codimension one faces of the polytope. In this talk, I am going to explain some group actions (mostly by $Z_2^n$ and $(S^1)^n$ on manifolds such that the orbit space is a simple convex polytope. The concepts of small cover and toric manifold over a simple polytope will be discussed eventually.

Key Speaker Subhankar Shau
Place NAC 505
Start Time 11:00 AM
Finish Time 11:50 AM