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Geometry
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Sam Raskin, Online: Geometric Langlands for l-adic sheaves
Thursday, February 04, 2021, 03:30pm - 04:30pm
In celebrated work, Beilinson-Drinfeld formulated a categorical analogue of the Langlands program for unramified automorphic forms. Their conjecture has appeared specialized to the setting of algebraic D-modules: non-holonomic D-modules play a prominent role in known constructions. In this talk, we will translate their work back into a statement suitable for (certain) automorphic functions, refining the Langlands conjectures in this setting. We will deduce this result from a categorical conjecture suitable in other geometric settings, including l-adic sheaves. One of the main constructions is a suitable moduli space of local systems. This is joint work with Arinkin, Gaitsgory, Kazhdan, Rozenblyum, and Varshavsky.
Location: Online

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