## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Smooth Structures on a Fake Real Projective Space

#### Abstract :

Let $M$ be a closed smooth $7$-manifold. We classify, up to diffeomorphism, all closed smooth manifolds $PL$-homeomorphic to $M$ . For $M = RP^7$, the real projective $7$-space, we show that $M$ has, up to diffeomorphism, exactly $56$ distinct differentiable structures.

Key Speaker Dr. Ramesh Kasilingam, Indian Institute of Technology Madras
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM