Title: A central value formula of degree 6 complex L-series and arithmetic applications
Speaker: Aprameyo Pal (University of Duisburg-Essen, Germany)
Date: 19 August 2019
Time: 3 pm
Venue: LH-1, Mathematics Department
We prove an explicit central value formula for a family of complex L-series
of degree 6 for GL2 × GL3 which arise as factors of certain Garret–Rankin
triple product L-series associated with modular forms. Our result generalizes
a previous formula of Ichino involving Saito–Kurokawa lifts, and as an
application, we prove Deligne’s conjecture about the algebraicity of the
central values of the considered L-series up to the relevant periods. I would
also include some other arithmetic applications towards the subconvexity problem,
construction of associated p-adic L function, etc.
This is joint work with Carlos de Vera Piquero.