The unbounded denominators conjecture
The unbounded denominators conjecture

Yunqing Tang, Princeton University
IAS  Simonyi Hall Seminar Room SH101
InPerson and Online Talk
Zoom link: https://princeton.zoom.us/j/97126136441
Passcode: The three digit integer that is the cube of the sum of its digits
The unbounded denominators conjecture, first raised by Atkin and SwinnertonDyer, 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.
This is joint work with Frank Calegari and Vesselin Dimitrov.