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Description

Number theory seminar.

Speaker: Aprameyo Pal.

Affiliation: University of Duisburg-Essen, Germany.

Date and Time: Thursday 22 August, 11:30 am - 12:30 pm.

Venue: Ramanujan Hall, Department of Mathematics.

Title: A central value formula of degree 6 complex L-series and arithmetic
applications.

Abstract: 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 subconvexity problem, construction of
associated p-adic L function etc. This is joint work with Carlos de Vera
Piquero.

Aprameyo Pal : University of Duisburg-Essen, Germany