##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory Seminar

## Jack Thorne

#### Cambridge University

## 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.

### May 21, 2020

### 2:00 PM

### https://kskedlaya.org/nts.cgi

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