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Explore a mathematical seminar talk where Nikolay Grantcharov delves into the global Hecke action for reductive groups over complex numbers. Learn about geometric Satake's role in producing Rep(G^vee) actions on sheaves through Hecke modifications. Discover how these actions can be integrated over smooth projective curves for sheaves with nilpotent singular support. Understand the toy (Betti) model from GKRV and gain insights into potential generalizations for de Rham and etale settings as discussed in AGKRRV. The presentation, delivered on May 1, 2024, offers a deep dive into advanced mathematical concepts over the course of 108 minutes.
