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Thursday, April 21, 2022
4:00 PM - 5:00 PM
Linde Hall 387

Number Theory Seminar

Characterization and construction of the local Langlands correspondence for supercuspidal parameters
Tasho Kaletha, Department of Mathematics, University of Michigan,

We will formulate a list of properties that uniquely characterize the local Langlands correspondence for discrete Langlands parameters with trivial monodromy. Suitably interpreted, this characterization holds for any local field, but requires an assumption on p in the non-archimedean case. We will then discuss an explicit construction of this correspondence, as a realization of functorial transfer from double covers of elliptic maximal tori, as well as the proof of various expected properties. This is partly joint work with J. Fintzen and L. Spice

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.