Title: Morse theory on the space of paths on Homogenous spaces
Speaker: Chaitanya Senapathi TIFR
Date: 11 July 2014
Time: 3:30 - 4:30 p.m.
Venue: Lecture Hall I, Department of Mathematics
1961 Frankel in a novel approach used the curvature of Complex Projective space to show complex submanifolds of complimentary dimension intersect. Based on this approach Scheon and Wolfson reproved the Barth-Lefshetz type theorems using the Morse Theory on the space of paths, in the case the ambient space is a Hermitian Symmetric Space. In this talk we describe how to extend their work to a much larger class of Homogenous spaces.