Symmetric power functoriality for holomorphic modular forms

Abstract: Langlands’s functoriality conjectures predict the existence of “liftings” of automorphic representations along morphisms of L-groups. A basic case of interest comes from the irreducible algebraic representations of GL(2), thought of as the L-group of the reductive group GL(2) over Q. I will discuss the proof, joint with James Newton, of the existence of the corresponding functorial liftings for a broad class of holomorphic modular forms, including Ramanujan’s Delta function.

number theory

Audience: researchers in the topic

Comments: There will be a pre-talk.

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.