The unbounded denominators conjecture
Yunqing Tang (Princeton)
22-Oct-2021, 14:30-16:00 (3 years ago)
Abstract: (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.
algebraic geometrynumber theoryrepresentation theory
Audience: researchers in the topic
Columbia Automorphic Forms and Arithmetic Seminar
Organizers: | Chao Li*, Eric Urban |
*contact for this listing |
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