Number Theory Seminar
Mihran Papikian
Penn State University
Eisenstein ideal over function fields
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.
Monday August 24, 2015 at 11:00 AM in SEO 427