 | Seminario Matematico e Fisico di Milano |
| Guido Kings
Università di Regensburg
The Birch-Swinnerton-Dyer conjecture, some recent progress
Monday, January 07 2019, at 16:00
Aula C, Dipartimento di Matematica, Via C. Saldini 50, Milano |
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Abstract
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Finding rational solutions of polynomial equations is one of the most difficult questions in arithmetic geometry. The Birch-Swinnerton-Dyer conjecture (one of the millennium problems) proposes an answer to this question in the case of elliptic curves. In the last years, using techniques like Euler systems in combination with methods involving p-adic families of modular forms, new insights and results concerning refinements of this conjecture were obtained.
In this talk we want to give an introduction to the Birch-Swinnerton-Dyer conjecture, avoiding all technicalities and review what is known about it. In the end we want to explain the ideas which lead to new results on a refinement of the Birch-Swinnerton-Dyer conjecture. |
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