The unbounded denominators conjecture
Organizers
Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Yunqing Tang
Time
Friday, October 29, 2021 9:30 AM - 10:30 AM
Venue
1118
Online
Zoom 849 963 1368
(YMSC)
Abstract
The unbounded denominators conjecture, first raised by Atkin and Swinnerton-Dyer, asserts that a modular form for a finite index subgroup of SL_2(Z) whose Fourier coefficients have bounded denominators must be a modular form for some congruence subgroup. In this talk, we will give a sketch of the proof of this conjecture based on a new arithmetic algebraization theorem. (Joint work with Frank Calegari and Vesselin Dimitrov.)