Department of Mathematics

Algebra

  •  Amina Abdurrahman, Princeton University
  •  A global cohomological formula for the square class of the central value of a symplectic L-function
  •  02/09/2022
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Georgios Pappas (pappasg@msu.edu)

In the 70s Deligne gave a topological formula for the local epsilon factors attached to an orthogonal representation. We consider the case of a symplectic representation and present a conjecture giving a topological formula for a finer invariant, the square class of its central value. 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 and give a sketch of the proofs. This is joint work in progress with Akshay Venkatesh.

 

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