STAGE Seminar

Friday, December 08, 2017 at 5:00pm to 7:00pm

2-131

Speaker: Atticus Christensen

Title: Mordell-Weil Ranks of Elliptic Curves over Infinite Extensions of Q

Abstract: In this talk we will describe results which can be deduced using Iwasawa theory of elliptic curves. In particular, for fixed elliptic curve E defined over Q, we will discuss the growth of the rank of the finitely generated groups E(K) as K ranges over number fields contained in a fixed potentially infinite degree extension of Q. We will then explain how the conjectural behavior of certain L functions predicts some of these results.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Tags

harmonjo, stage_sem

Website

http://math.mit.edu/nt/index_stage

Department

Department of Mathematics

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