Jackie Lang (Oxford)

will speak on

Eisenstein congruences at prime-square level

Time: 2:00PM
Date: Thu 5th November 2020
Location: Online [map]

Further information

Abstract: Congruences between modular forms have been studied by many mathematicians, starting with some observations of Ramanujan. They have been exploited by number theorists in the last 50 years to prove many deep arithmetic facts. We will give a survey of examples of these congruences and some of their arithmetic applications. Having established the historical context, we will discuss some work in progress with Preston Wake where we study Eisenstein congruences at prime-square level. We will end with an application to proving nontriviality of class groups of a family of number fields.

(This talk is part of the Algebra and Number Theory series.)

PDF notice

Return to all seminars