Mathematics Seminar of the School of Physical Sciences
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Hecke Algebra and the Langlands Program
Manish Mishra
(IISER Pune)
Date: October 16, 2016 (Monday)
Abstract: The Langlands program, roughly speaking, predicts a natural correspondence between the finite dimensional complex representations of the Galois group of a local or a number field and the infinite dimensional representations of real, p-adic and adelic reductive groups. I will very briefly talk about the local Langlands conjectures and an approach via Hecke algebras. I will then talk about my result with Bertand Lemaire about Langlands-Shelstad transfer of the Bernstein centre of depth zero principal series blocks.