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Arno Kret: On the H0 of Igusa varieties


Tid: To 2024-05-23 kl 13.00 - 14.00

Plats: Classroom 7, Albano House 1, Floor 2

Medverkande: Arno Kret (Amsterdam)

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In this talk I would like to explain my joint work with Sug Woo Shin (arxiv:2102.10690) on the computation of the degree 0 cohomology of Igusa varieties in terms of one-dimensional automorphic representations. In particular I want to discuss the applications to the Hecke orbit conjecture and irreducibility of Igusa towers, and also discuss some ideas of the proofs.