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Berkeley-Caltech-Stanford Joint Number Theory Seminar

Monday, November 15, 2021
12:30pm to 1:30pm
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The unbounded denominators conjecture
Yunqing Tang, Department of Mathematics, Princeton University,

(Joint work with Frank Calegari and Vesselin Dimitrov.) 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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].