Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Thursday 13 April 2023
Time 11:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Abdurrahman
Speaker's First Name Amina
Speaker's Email Address
Speaker's Institution IHES
Title Square Roots of Symplectic L-functions and Reidemeister Torsion
Abstract We give a purely topological formula for the square class of the central value of the L-function of a symplectic representation on a curve. We also formulate a topological analogue of the statement, in which the central value of the L-function is replaced by Reidemeister torsion of 3-manifolds. This is related to the theory of epsilon factors in number theory and Meyer's signature formula in topology among other topics. We will present some of these ideas and sketch aspects of the proof. This is joint work with Akshay Venkatesh.
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