Euler Systems and the Birch—Swinnerton-Dyer Conjecture

Duration: 1 hour 4 mins
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Description: Zerbes, S
Monday 17th May 2021 - 16:30 to 17:30
 
Created: 2021-05-19 13:38
Collection: Swinnerton-Dyer Memorial
Publisher: Isaac Newton Institute for Mathematical Sciences
Copyright: Zerbes, S
Language: eng (English)
 
Abstract: I will talk about one of the most important tools for proving cases of the Birch—Swinnerton-Dyer conjecture and its generalisations, namely the theory of Euler systems. After reviewing some existing results on the BSD conjecture for rational elliptic curves and their twists, I will describe ongoing joint work with David Loeffler towards proving the BSD conjecture in analytic rank 0 for modular abelian surfaces.
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