Symmetric power functoriality for modular forms

Abstract: I will discuss some joint work with Jack Thorne on the symmetric power lifting for modular forms. We prove the existence of all symmetric power lifts for holomorphic Hecke eigenforms. We previously obtained this result with an extra assumption on the ramification of the modular form (for example, square-free level), but can now remove this.

number theory

Audience: researchers in the topic

Columbia CUNY NYU number theory seminar