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SUMMARY:Igor Frenkel (Yale University)
DTSTART:20230412T070000Z
DTEND:20230412T083000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/8/"
 >Representation Theory in Mathematics and Physics</a>\nby Igor Frenkel (Ya
 le University) as part of Algebra and Geometry Seminar @ HKUST\n\nLecture 
 held in CYTG001.\n\nAbstract\nIn this talk\, we overview some central idea
 s and historical developments of representation theory and its relations t
 o other areas of mathematics and physics. We'll start with a brief review 
 of the sources and first successes of representation theory of finite and 
 finite-dimensional groups and its applications. Then we will recall the re
 markable generalizations of this theory to central extensions of loop grou
 ps and Virasoro group and consider further relations to mathematics and ph
 ysics. We will describe the programs of "geometrization" and "categorifica
 tion" of the previous results in representation theory developed since 90t
 h and their successes. We conclude with potential new developments in repr
 esentation theory and discuss some open problems.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/8/
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