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Title:
Applications of the Relative Trace Formula

Speaker:
Valentin Blomer

Abstract:
I discuss the spectral and arithmetic side of the relative trace formula of Kuznetsov type for congruence subgroups of SL(n, Z) with applications to automorphic density theorems. A particular focus is on properties of general Kloosterman sums as well as the average size of Fourier coefficients in absence of newform theory.

Link:
https://www.ias.edu/video/applications-relative-trace-formula