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X-WR-CALNAME:Institute of Mathematics and Informatics
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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20210914T163000
DTEND;TZID=Europe/Sofia:20210914T173000
DTSTAMP:20260615T234316
CREATED:20210909T075950Z
LAST-MODIFIED:20210909T174914Z
UID:11070-1631637000-1631640600@math.bas.bg
SUMMARY:Семинар на МЦМН: лекция на Веселин Димитров
DESCRIPTION:Семинар на Международния център по математически науки\n14 септември 2021\, 16:30-17:30\,\nизлъчван по Zoom \nКонгруентното свойство в двумерна рационална конформна теория на полето\nДокладчик: Веселин Димитров\, Университет на Торонто\nАбстракт. 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 of the proof of the conjecture\, describe the relation to mathematical physics and the representation theory of vertex algebras\, and explain how our result in particular recovers a completely new proof of the so-called ‘congruence property’ in rational conformal field theory. \nЛекцията ще бъде излъчена по Zoom: \nhttps://us06web.zoom.us/j/84203402868?pwd=QjIxamRxUU94RDN2bmNycjVmNFpmUT09\nMeeting ID: 842 0340 2868\nPasscode: 667064
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-%d0%bb%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%bd%d0%b0-%d0%b2%d0%b5%d1%81%d0%b5%d0%bb%d0%b8%d0%bd-%d0%b4%d0%b8%d0%bc%d0%b8/
LOCATION:Zoom
CATEGORIES:Лекция,Работен семинар
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