Семинар на МЦМН: лекция на Веселин Димитров
ZoomСеминар на Международния център по математически науки 14 септември 2021, 16:30-17:30, излъчван по Zoom Конгруентното свойство в двумерна рационална конформна теория на полето Докладчик: Веселин Димитров, Университет на Торонто Абстракт. In a joint work with Frank Calegari and Yunqing Tang, we use methods from transcendental number theory to prove a conjecture that goes back to Atkin and Swinnerton-Dyer, in a special case, and generalized by Mason to the following form: A vector-valued modular form on SL(2,Z) whose components have q-expansions with bounded denominators are exactly the ones for which the underlying representation of SL(2,Z) has a finite image with kernel containing the congruence subgroup of matrices reducing to the identity modulo some positive integer N. In this talk, I will outline the basic ideas [...]
