CHAT - Sarnak, Automorphic Cuspidal Representations and Maass Forms
Автор: Chi-Yun Hsu (Cynthia)
Загружено: 2021-05-17
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Slides are available on the CHAT series website: https://chiyunhsu.github.io/activitie...
The idea of CHAT series is to invite established professors (in Number Theory) to talk about either (1) their math career in general (2) a theorem they proved or a theory they developed, explained from a personal and historical perspective, like how they came up with the problem, how the ideas came into place, or what the theorem/theory meant to us, etc.
Date: May 17, 2021
Speaker: Peter Sarnak (Princeton)
Title: Automorphic Cuspidal Representations and Maass Forms
Abstract: The building blocks for automorphic representations on $\mathrm{GL}_n$ are the cusp forms. Even the existence of Maass cusp forms is subtle and tied to arithmetic. I will describe some of my many encounters with these trascendental objects and speculate about their role in number theory.
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