Chern-Simons action and Reidemeister torsion in arithmetic

par Dr Amina Abdurrahman (IHES)

vendredi 9 mai 2025, 16:30 → 18:00 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.