Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Lecture Series About Euler Systems: Congruences Between Modular Forms And Special Values Of L-Functions
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I will give an introduction to the method of Bertolini—Darmon to prove instances of the Birch and Swinnerton—Dyer conjecture for elliptic curves of analytic rank at most one. The main tool is (the simplest example of) a bipartite Euler system. Its construction rests on the structure of special fibers of Shimura curves, allowing to realize level raising of modular forms geometrically. Time permitting, I will mention recent applications of the method to the study of the Bloch—Kato conjecture for other motives.
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