## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Convex polytopes and its applications

#### Abstract :

In my previous talk we defined simple convex polytopes and discussed about locally isomorphism to standard representations of manifolds. In this talk I shall define small cover and toric manifold over simple convex polytopes by $Z_2^n$ and $T^n$ action on manifolds. I'll also discuss the construction of such manifolds given a simple convex polytope with the help of characteristic functions.

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