The unbounded denominators conjecture

Title:The unbounded denominators conjecture

Speaker:Yunqing Tang (Princeton university)

Organizer: Emmanuel Lecouturier (BIMSA)

Time:9:30-10:30, Oct. 29, 2021

Venue:BIMSA 1118

Zoom ID: 849 963 1368   Password: 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.)

 

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