Applications of the GL(3) Kuznetsov trace formula

Speaker:

Joao Guerreiro

Affiliation:

MPIM

Date:

Mon, 19/12/2016 - 10:40 - 11:25

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

The Kuznetsov trace formula on SL(3,Z) has yielded many number theoretic 
applications, such as results on the distribution of Maass forms and on 
symmetry types of families of L-functions. I will give an overview of this 
trace formula, focusing on the analysis of its geometric terms, and describe 
how one can obtain an orthogonality relation for the Fourier-Whittaker 
coefficients of a "thin" family of Maass forms.