3–13 Jun 2024
Department of Mathematics, University of Pisa
Europe/Rome timezone

A topological formula for the central value of symplectic L-functions and Reidemeister torsion

7 Jun 2024, 10:00
1h
Department of Mathematics, University of Pisa

Department of Mathematics, University of Pisa

Speaker

Amina Abdurrahman (IHES)

Description

We give a global cohomological formula for the central value of the L-function of a symplectic representation on a curve up to squares. It involves a map C. Soule defined in his work on the Lichtenbaum conjectures. The proof relies crucially on a similar formula for the Reidemeister torsion of 3-manifolds. We sketch both analogous arithmetic and topological pictures. This is based on joint work with A. Venkatesh.

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