Description
Mathematics Colloquium I.
Speaker: Tanmay Deshpande.
Affiliation: TIFR Mumbai.
Date and Time: Wednesday 04 September, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: The Springer Correspondence and Character Sheaves.
Abstract: Using the Jordan normal form, the conjugacy classes of nilpotent
n x n matrices can be parametrized by partitions of n. On the other hand,
partitions of n also parametrize irreducible representations of the
permutation group S_n. In this talk, I will describe the Springer
correspondence which provides a deeper geometric understanding of the
above coincidence. Towards the end, I will sketch the ideas involved in
the proof of the Springer correspondence and their relationship with the
theory of character sheaves on reductive groups.