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Algebraic Geometry Student Research Seminar

Friday, February 9, 2024 - 10:00am

Emmet Lennen



University of Pennsylvania


Part III of the GLC series

In this talk, we switch to Geometric Langlands over the complex numbers. The Galois representations are replaced by perverse sheaves or D-modules, the automorphic representations are replaced by Hecke eigensheaves, and the Hecke correspondences now live over the stack of bundles. We introduce these objects, then prove Geometric Langlands for G=GL_1.  Time permitting, we will discuss the categorified version of the Satake isomorphism, i.e. Geometric Satake.

Notes from Emmet Lennen.