Number theory seminar


You may also find information about Number theory seminars (and much more) on the mathematics department webpage


August - December 2021


03/09/2021 1400 (Online) Mihir Sheth (IISc)
Title: mod p local Langlands correspondence for GL_2
Abstract: Let F be a non-archimedean local field of residue characteristic p. The classical local Langlands correspondence is a 1-1 correspondence between 2-dimensional irreducible complex representations of the Weil group of F and certain smooth irreducible complex representations of GL_2(F). The number-theoretic applications made it necessary to seek such correspondence of representations on vector spaces over a field of characteristic p. In this talk, however, I will show that for F of residue degree > 1, unfortunately, there is no such 1-1 mod p correspondence. This result is an elaboration of the arguments of Breuil and Paskunas to an arbitrary local field of residue degree > 1.

01/10/2021 TBA (Online) Santosh Nadimpalli (IIT Kanpur)
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08/10/2021 TBA (Online) Aditya Karnataki (BICMR)
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2/10/2021 TBA (Online) C S Rajan (TIFR Mumbai)
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29/10/2021 TBA (Online) Ritabrata Munshi (ISI Kolkata)
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12/11/2021 TBA (Online) Arnab Saha (IIT Gandhinagar)
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26/11/2021 TBA (Online) Shiv Prakash Patel (IIT Delhi)
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