Topology Seminar
Date and time: Thursday 30 March 2023 at 10 AM
Venue: Video call link: https://meet.google.com/faa-xzqt-xyn
Host: Rekha Santhanam
Speaker: Bikramjit Kundu
Affiliation: ISI Bangalore
Title: The index of some Stiefel and flag manifolds
Abstract: In this talk I will do the Fadell-Husseini index calculations for certain
group actions on Stiefel manifolds and flag manifolds. The calculations for the
Stiefel manifold are related to generalizations of the Kakutani’s theorem in geom-
etry. I will also briefly discuss index of flag manifolds of equal dimensional p orthogonal
subspaces on which C_p acts by the cyclic permutation. The result bears geometric consequences about
measures of orthogonal shadows of convex subsets. This is an odd primary ana-
logue of a calculation of Blagozevic et al for the Grassmannian.