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Number Theory Seminar

Monday, October 23, 2023
4:00pm to 5:00pm
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Linde Hall 387
Subconvex bounds for unitary groups in horizontal aspects
Paul Nelson, Department of Mathematics, Aarhus University,

We'll describe some of the main ideas from the paper (joint with Yueke Hu), which establishes subconvex bounds for unitary groups in some new aspects. We'll begin by illustrating, in the setting of general linear groups over finite fields, how the methods developed in our earlier work with Venkatesh give rise to useful test vectors for the integral representations of L-functions furnished by known cases of the Ichino--Ikeda conjecture. We'll then discuss the geometric problems that arise when averaging this integral representation in an amplified relative trace formula.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].