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Simons Foundation Lectures · Yesterday · 43 min

ICM 2026 Invited Section Lecture - Sam Raskin

Unramified Automorphic Forms We will discuss recent progress on understanding everywhere unramified automorphic forms over function fields. The main application, joint with D. Gaitsgory and V. Lafforgue, is a proof of the Arthur-Ramanujan conjecture in this setting, , which describes the magnitudes of Hecke eigenvalues of cusp forms. This is ultimately obtained as a consequence of the geometric Langlands conjecture for D-modules in characteristic 0. In this talk, we will give an introduction to this circle of ideas. Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices

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Unramified Automorphic Forms

We will discuss recent progress on understanding everywhere unramified automorphic forms over function fields. The main application, joint with D. Gaitsgory and V. Lafforgue, is a proof of the Arthur-Ramanujan conjecture in this setting, , which describes the magnitudes of Hecke eigenvalues of cusp forms. This is ultimately obtained as a consequence of the geometric Langlands conjecture for D-modules in characteristic 0. In this talk, we will give an introduction to this circle of ideas.

Uploaded 06-10-26

Learn more about your ad choices. Visit megaphone.fm/adchoices

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