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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20250221T130000
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CREATED:20250212T121254Z
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UID:17305-1740142800-1740148200@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 21 февруари 2025 г. (петък) от 13:00 часа в зала 578 на ИМИ\nще се проведе присъствено заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nClassification of C*-algebras through the lens of Cartan subalgebras\nще изнесе \nAli Raad (Американски университет в България). \nАбстракт. C*-algebras were introduced in the last century following various attempts to mathematically formalize the foundations of quantum mechanics. As such they encapsulate the study of noncommutative topology\, as every C*-algebra is an algebra of bounded operators on some Hilbert space. Over the years there has been a significant attempt to classify C*-algebras by an invariant consisting of K-theoretic and tracial data. A recent breakthrough result has shown that every classifiable C*-algebra has a distinguished Abelian subalgebra called a Cartan subalgebra. Cartan subalgebras are pivotal in realizing C*-algebras as being built from topological groupoids. This yields concrete tools with which one can study a C*-algebra. A natural open problem is to find the defining characteristics of the groupoids giving rise to classifiable C*-algebras. In this talk I will discuss this problem and highlight some recent results. I aim to give a gentle overview of the theory of C*-algebras\, their classification\, Cartan subalgebras and their corresponding groupoids. Then I will highlight some recent progress in this open problem. Some of the results I will mention constitute joint work between myself and Xin Li\, as well as myself with Ward Bruyndonckx and Jonathan Taylor. \nПоканват се всички желаещи да присъстват. \nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-116/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%20%D0%B8%20%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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