Chern-Simons action and Reidemeister torsion in arithmetic

by Dr Amina Abdurrahman (IHES)

Friday May 9, 2025, 4:30 PM → 6:00 PM Europe/Paris

Salle Pierre Grisvard (IHP - Bâtiment Borel)

I give a global cohomological formula for the central value of the L-function of a symplectic representation on a curve up to squares and link this to arithmetic Chern-Simons theory.
I will highlight the role that Reidemeister torsion plays in that arithmetic picture, and give some results both in the topological and geometric setting.