地点: 数学高等研究院报告厅

时间: 9月16日，16:15 - 17:15

主讲人: Amina Abdurrahman (ETH Zurich)

摘要：I 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. I sketch both analogous arithmetic and topological pictures. This is based on joint work with A. Venkatesh. I will also give an arithmetic application, giving a topological perspective on the order of the Tate–Shafarevich group up to squares.