May 2, 2024
Square roots for symplectic L-functions and Reidemeister torsion
Algebraic Geometry and Number Theory Seminar
Date: May 2, 2024 |
1:00 pm –
3:00 pm
Speaker:
Amina Abdurrahman, IHES, Paris
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
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 Meyers 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.
