# SIMBa: Entering the tower with Iwasawa theory

El proper dimecres, 21d’abril, se celebrarà una nova xerrada —en format virtual— del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Marta Sánchez Pavón
Resum: Proving Fermat Last Theorem has been one of the most famous mathematical challenges during the last years. Most importantly, it served as a key starting point for developing deep theories in arithmetic geometry; and Iwasawa theory has been one of such. The fundamental idea of Iwasawa theory is studying the growth of arithmetic objects (such as the ideal class group of number fields or Selmer groups of elliptic curves and abelian varieties) in an infinite tower of $p$-adic extensions. Furthermore, much of the recent progress in the Birch and Swinnerton-Dyer conjecture is due to these methods. In this talk, we present a brief introduction to Iwasawa theory with an eye on elliptic curves.
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