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Presented By: Group, Lie and Number Theory Seminar - Department of Mathematics

GLNT: Propagating congruences in the local Langlands program

Sean Cotner

Abstract: I will describe recent work-in-progress with Tony Feng in which we compare the Fargues–Scholze local Langlands correspondence to Kaletha's local Langlands correspondence for non-singular tame supercuspidal representations. The main underlying theorem is an explicit special case of Langlands functoriality, which we prove by leveraging Feng's recent results on "modular functoriality" several times.

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