Number Theory Seminar

Date: March 26, 2024

Time: 09:45AM - 10:45AM

Location: BLOC 302

Speaker: Radu Toma, University of Bonn

Title: The sup-norm problem for newforms in higher rank

Abstract: I will present some new results on the sup-norm problem in the level aspect for SL(n). The main novelties are in the geometry of numbers, where we develop a general reduction theory with level structure. Connected to it is an investigation of Atkin-Lehner operators in higher rank. The outcome is the first sub-baseline bound in the level aspect for the size of Hecke-Maass cuspidal newforms in unbounded rank.