Felicien Comtat

Queen Mary University of London

The Kuznetsov formula for GSp_4

Linfoot Number Theory Seminar

5th May 2021, 11:00 am – 12:00 pm
Fry Building, Online

The classical Kuznetsov formula is an identity relating the Fourier coefficients of certain automorphic forms on GL_2 to some arithmetic information (sum of Kloosterman sums). It has many applications in number theory, usually involving using either known information about Kloosterman sums to derive non-trivial results about the Fourier coefficients of Maass forms, or the other way around. Recently, analogous formulas were proven for other groups. In this talk, I will present a Kuznetsov formula for the group GSp_4. After recalling some basic properties of the group GSp_4, I will give an outline of the derivation following an adelic relative trace formula approach. The tools involve representation theory, the Langlands spectral decomposition, and some functional analysis over real groups.

Comments are closed.