Thursday, February 07, 2019
4:00 PM -
5:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
Algebraic Twists of GL(3)-Modular Forms
Philippe Michel,
EPFL,
The subconvexity problem for GL(1)-twists of a fixed GL(3) cusp form (solved by R. Munshi in 2015) is equivalent to establishing that Dirichlet characters $\chi$ modulo $q$ do not correlate with the Fourier Whittaker coefficients of the given GL(3) form in the convexity range $q^{3/2}$. In this talk, we will explain how a recent alternative proof of Munshi's theorem -due to R. Holowinsky and P. Nelson- makes it possible to replace the character $\chi$ by the trace function of a general $\ell$-adic sheaf modulo $q$ (when $q$ is prime).
This is joint with E. Kowalski, Y. Lin and W. Sawin.
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For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].