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.

number theory

Audience: researchers in the discipline

( video )

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CHAT (Career, History And Thoughts) series

Series comments: The CHAT series invite established professors to talk about either (1) their math career in general (2) their theorems or theories, but explained from a personal and historical perspective, like how they came up with the problem, what the Aha! moment was like, how the problem changes from its initial form to the published rigorous form.

The idea is that instead of talking about their latest theorems, the speakers would take a step back and talk about the trajectory of an idea, the path to the discovery of a theorem, the influence of ideas learned through a paper or a chance conversation with a colleague, and the hazards met and overcome along the way.

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