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X-ORIGINAL-URL:https://math.bas.bg
X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20210914T140000
DTEND;TZID=Europe/Sofia:20210914T150000
DTSTAMP:20260629T200231
CREATED:20210910T133531Z
LAST-MODIFIED:20210910T133531Z
UID:11077-1631628000-1631631600@math.bas.bg
SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология"
DESCRIPTION:Поредното заседание на Общия семинар на секция “Анализ\, геометрия и топология” ще се проведе на 14 септември 2021 г. от 14:00 часа в зала 478 на ИМИ.\nДоклад на тема: \nThe Dimension Dind оf Finite Topological T0-Spaces\n\nще изнесе Dimitrios Georgiou\, University of Patras\, Greece. \nПоканват се всички интересуващи се. \nРезюме. A.V. Arhangelskii introduced the dimension Dind [2] and some properties of this dimension have been studied in [1\, 3]. In this talk\, we present the study of this dimension for finite T0-spaces. Especially\, we present that in the realm of finite T0-spaces\, Dind is less than or equal to the small inductive dimension ind\, the large inductive dimension Ind and the covering dimension dim. We also give the “gaps” between Dind and the dimensions ind\, Ind and dim\, presenting various examples which shows these “gaps”. Moreover\, in this field of spaces\, we present characterizations of Dind\, inserting the meaning of the maximal family of pairwise disjoint open sets\, and give properties of this dimension.\nReferences:\n[1] Chatyrko V.A.\, Pasynkov B.A.\, On sum and product theorems for dimension Dind\, Houston J. Math. 28 (2002)\, no. 1\, 119-131.\n[2] Egorov V.\, Podstavkin Ju.\, A definition of dimension\, (Russian) Dokl. Akad. Nauk SSSR 178 1968\, 774-777.\n[3] Kulpa W.\, A note on the dimension Dind\, Colloq. Math. 24 (1971/72)\, 181-183.\nThe results of this talk are the research work of the paper “THE DIMENSION Dind OF FINITE TOPOLOGICAL T0-SPACES”\, the authors of which are D. Georgiou\, Y. Hattori\, A. Megaritis and F. Sereti. This paper has been accepted for publication to the journal Mathematica Slovaca. \nСеминарът ще се проведе при спазване на всички противоепидемиологични мерки. \n 
URL:https://math.bas.bg/event/%d0%be%d0%b1%d1%89-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8-7/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%2C%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%20%D0%B8%20%D1%82%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F":MAILTO:vmil@math.bas.bg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20210914T163000
DTEND;TZID=Europe/Sofia:20210914T173000
DTSTAMP:20260629T200231
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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