Daniele Casazza (UCD)

will speak on

On a p-adic family for the Dth Shintani liftings

Time: 2:00PM
Date: Thu 6th February 2020
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: The conjecture of Birch and Swinnerton-Dyer relates the arithmetic properties of an elliptic curve to the special value of its associated L-function. Classical results provide an explicit relation between special values and the Fourier coefficient of a half-integral weight modular form. This remarkable connection was utilised by Tunnell in his groundbreaking work on the celebrated Congruent Number Problem. I will report on joint work with Carlos de Vera Piquero (UPC, Barcelona) where we we interpolate some of these key constructions in a p-adic family.

(This talk is part of the Algebra and Number Theory series.)

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