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Speaker:
Philippe Michel
Affiliation:
Ecole polytechnique federale de Lausanne
Date:
Wed, 24/05/2017 - 15:00 - 15:50
Location:
MPIM Lecture Hall
Parent event:
Conference "Modular forms are everywhere" This talk is a review a recent series of works by V. Blomer, E. Fouvry, E. Kowalski,
myself, D. Milicevic, W. Sawin as well as R. Zacharias.
We will describe various estimates on sums of Kloosterman sums (or more generally
trace functions) proven using methods from $\ell$-adic cohomology and some of their
applications to the study of analytic properties of character twists of L-functions on
average over the family of Dirichlet characters of some large prime modulus.
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