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Diagonal Classes and the Birch and Swinnerton-Dyer Conjecture

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023

March 13, 2023 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Massimo Bertolini (Universität Duisburg-Essen)
Location: SLMath: Online/Virtual
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Diagonal Classes And The Birch And Swinnerton-Dyer Conjecture

Abstract

This talk considers triple-product p-adic L-functions corresponding to various regions of classical interpolation. It describes their relations with rational points and Selmer classes on modular elliptic curves, obtained from explicit reciprocity laws for appropriate diagonal classes.

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Diagonal Classes And The Birch And Swinnerton-Dyer Conjecture

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