Mihran Papikian : Eisenstein ideal over function fields

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Aug. 24, 2015, 11 a.m.

In

SEO 427

Abstract

The Eisenstein ideal for modular curves over Q was introduced by Mazur in his seminal paper ``Modular curves and the Eisenstein ideal'' and since then the Eisenstein ideal has become an indispensable tool in various problems related to modular curves. In this talk I will discuss a joint work with Fu-Tsun Wei where we study the properties of the Eisenstein ideal acting on Drinfeld modular curves of composite levels, with the goal of producing explicit Jacquet-Langlands isogenies.