**Date & Time:** Friday, February 12, 2015, 16:00-17:00.

**Venue:** Ramanujan Hall

**Title:** Vector fields on certain quotients of the complex Stiefel manifolds

**Speaker:** Shilpa Gondhali, University of Haifa

**Abstract:** In this talk, we will try to understand Topology of a quotient
of the complex Stiefel manifold, which we call $m$-projective Stiefel
manifold. More precisely, we consider quotients of complex Stiefel
manifolds by finite cyclic groups whose action is induced by the scalar
multiplication on the corresponding complex vector space. We will obtain a
description of their tangent bundles, compute their mod $p$ cohomology and
obtain estimates for their span (with respect to their standard
differentiable structure). We will discuss the Pontrjagin and
Stiefel-Whitney classes of these manifolds and give applications to their
stable parallelizability. This is part of joint work with P. Sankaran.