Symmetric power functoriality for holomorphic modular forms

Symmetric power functoriality for holomorphic modular forms

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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.