Asymptotic formula for Tate--Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic extensions

Abstract: Let $p\ge 5$ be a prime number and $E/\mathbf{Q}$ an elliptic curve with good supersingular reduction at $p$. Under the generalized Heegner hypothesis, we investigate the $p$-primary subgroups of the Tate--Shafarevich groups of $E$ over number fields contained inside the anticyclotomic $\mathbf{Z}_p$-extension of an imaginary quadratic field where $p$ splits. This is joint work with Meng Fai Lim and Katharina Mueller.

number theory

Audience: researchers in the topic

Iwasawa theory Virtual Seminar

Series comments: The seminar meets once a week on Thursdays from 3-4pm Pacific time. Registration is required. The talk lasts 50 minutes with 10 minutes reserved for questions. Speakers are requested to make themselves available for an additional 15 minutes after the talk.

The first talk will be on Jan 20, 2022.

The hope is to have research talks by a diverse group of speakers: well established senior mathematicians, postdocs and graduate students on the unifying topic of Iwasawa theory.