The unbounded denominators conjecture
组织者
胡悦科
, 埃马纽埃尔·勒库图里耶
,
凯撒·鲁普
演讲者
唐云清
时间
2021年10月29日 09:30 至 10:30
地点
1118
线上
Zoom 849 963 1368
(YMSC)
摘要
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.)