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The $\ell$-modular representation theory of $p$-adic groups if $\ell\neq p$

Johannes Droschl (AU)
Tuesday 17 March 2026 15:15 – 16:30 Aud. D1 (1531-113)
Mathematics Seminar

The study of automorphic representations and their local counterparts across varying coefficient fields is a powerful tool in the Langlands program. This talk provides a gentle introduction to some of the key themes in the modular representation theory of p-adic groups. We will outline the theory of modular Godement zeta-integrals and show how one can compute the $L$-functions via associated L-parameters. Finally, we will discuss the modular local theta correspondence and describe precisely how Howe duality fails for type II dual pairs in the modular setting.

Organised by: Padic
Contact: Corina-Gabriela Ciobotaru Revised: 17.03.2026