Higher regulators and special values of the degree-eight L-function of GSp(4)xGL(2)

Abstract: In order to prove Beilinson conjectures, we link the image of an element through the Beilinson regulator in the Deligne cohomology of the product of a Siegel variety and a modular curve respectively, to the special value at $s = 1$ of the degree-eight $L$-function of $\mathrm{GSp}(4) \times \mathrm{GL}(2)$ associated to a product of automorphic generic admissible cuspidal representations of $\mathrm{GSp}(4)$ and $\mathrm{GL}(2)$ respectively, in the case where this function is entire. In this talk, we will explain how we can link these different objects using a linear form defined on the Deligne cohomology.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper | slides )

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Rendez-vous on special values and periods

Series comments: The main objective of this conference is to gather together young researchers interested in special values of L-functions and periods. These objects are at the crossroads of many recent important developments in arithmetic geometry, such as Euler systems or the theory of motives. The different talks will portray the variety of viewpoints with which L-functions and periods are studied at present.

Registration is free and mandatory, to get access to the livestream and recording of the talks.

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