Symmetric power functoriality for holomorphic modular forms
Symmetric power functoriality for holomorphic modular forms
-
Jack Thorne, University of Cambridge
*Please note the time change*
Zoom link and password:
https://theias.zoom.us/j/959183254
Password: the three digit integer that is the cube of the sum of its digits
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.