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Classical limits for geometrizations of functoriality kernels and values of L-functions


Date: Thursday, March 18, 2021 14:00 - 16:00
Speaker: Vincent Lafforgue (Institute Fourier, Grenoble)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tamas Hausel

In the setting of the geometric Langlands program, it is conjectured that kernels which should give rise to Langlands functoriality, and relations between values of L-functions and some periods, exist. Some cases are known (e.g. the geometric theta correspondence and the geometrization of Rankin-Selberg integrals, due to Lysenko), the rest is mainly conjectural. However the (partly conjectural) classical limits may be described and their properties studied. In the first hour I will recall some elementary facts of symplectic geometry and  the classical limit of the Langlands correspondence via the Hitchin fibration. 

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