Number Theory

Title: Uniform denominators growth for noncongruence modular forms
Speaker: Vesselin Dimitrov
Speaker Info: University of Toronto
Brief Description:
Special Note:

(joint work with Frank Calegari and Yunqing Tang) I will explain how to characterize the congruence sublattices of SL_2(Z) in terms of an integrality property of the Fourier expansions of their modular forms at the infinite cusp. Beneath this result, which answers a question asked by Atkin and Swinnerton-Dyer, we look into the question of the slowest possible growth the denominators can have in the noncongruence case. Time allowing, I will explain the generalization of all of this to a vector-valued setting.
Date: Friday, October 22, 2021
Time: 3:00PM
Where: Lunt 107
Contact Person: Ilya Khayutin
Contact email: khayutin@northwestern.edu
Contact Phone:
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