John Lee : Current Results on Reductions of Elliptic Curves and Related Objects

Posted by Zhehao Li , part of the Graduate Number Theory Seminar.

At

March 15, 2023, 4 p.m.

In

427 SEO

Abstract

In this talk, I am going to introduce one of old problems in the study of elliptic curves -- the distribution of primes of cyclic reduction -- and the current results on related problems. Also I am planning to summarize a few results in the settings of elliptic curves over function fields, abelian varieties, and Drinfeld modules.