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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.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 26 Sep 2023