Seminar series
Date
Thu, 06 Nov 2014
Time
16:00 -
17:00
Location
L5
Speaker
Jack Thorne
Organisation
Cambridge
Let f be an elliptic modular newform of weight at least 2. The
problem of the automorphy of the symmetric power L-functions of f is a
key example of Langlands' functoriality conjectures. Recently, the
potential automorphy of these L-functions has been established, using
automorphy lifting techniques, and leading to a proof of the Sato-Tate
conjecture. I will discuss a new approach to the automorphy of these
L-functions that shows the existence of Sym^m f for m = 1,...,8.