Seminario / Kings
SEMINARIO MATEMATICO E FISICO DI MILANO
AVVISO DI CONFERENZA
Lunedì 7 gennaio 2019, alle ore 16:00
presso la Aula C (secondo piano)
del Dipartimento di Matematica dell'Università di Milano
in Via Saldini 50
Prof. GUIDO KINGS
"The Birch-Swinnerton-Dyer conjecture, some recent progress"
Abstract: 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.
Tutti gli interessati sono invitati a partecipare.
Il direttore del Seminario
Per ulteriori informazioni sulle attività del seminario: http://www.mate.polimi.it/smf