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SUMMARY:Yunqing Tang (Princeton)
DTSTART:20211022T143000Z
DTEND:20211022T160000Z
DTSTAMP:20260423T022623Z
UID:CAFAS/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/28/">T
 he unbounded denominators conjecture</a>\nby Yunqing Tang (Princeton) as p
 art of Columbia Automorphic Forms and Arithmetic Seminar\n\n\nAbstract\n(J
 oint work with Frank Calegari and Vesselin Dimitrov.) The unbounded denomi
 nators conjecture\, first raised by Atkin and Swinnerton-Dyer\, asserts th
 at a modular form for a finite index subgroup of SL_2(Z) whose Fourier coe
 fficients have bounded denominators must be a modular form for some congru
 ence subgroup. In this talk\, we will give a sketch of the proof of this c
 onjecture based on a new arithmetic algebraization theorem.\n
LOCATION:https://researchseminars.org/talk/CAFAS/28/
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