summer 2018 |
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Wojciech Wawrów (London School of Geometry and Number Theory) 17.06.2022 12:00, B1-37 Title: Euler systems and Bloch-Kato conjecture - recent developments. Abstract:
The Bloch-Kato conjecture predicts a correspondence between analytic ranks of L-functions attached to Galois representations and dimensions of associated Selmer groups. The principal tool for investigating this problem is the theory of Euler systems. In this talk we will discuss recent constructions of Euler systems for Galois representations attached to automorphic Galois representations due to Loeffler and Zerbes, as well as the way in which they have been used derive new cases of the Bloch-Kato conjecture and Birch and Swinnerton-Dyer conjecture. |