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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260716T110000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-jack-jia-categories
SUMMARY:Algebraic Geometry Working Seminar | Jack Jia | Categories of\nrepr
 esentations of groups are well-behaved
CLASS:PUBLIC
DESCRIPTION:JACK JIA\, UNIVERSITY OF WATERLOO\n\n_Categories of representat
 ions of groups are well-behaved_\n\nThey are abelian (behave like module c
 ategories)\, symmetric monoidal\n(have tensor products)\, every object has
  a dual and is semi-simple\, to\nname a few. A natural question to ask is 
 whether every category that\nexhibits similar behaviour is a representatio
 n category. Deligne\nproved a remarkable theorem that shows every symmetri
 c tensor category\nwith some imposed growth condition is in fact a categor
 y of\nrepresentations. Moreover\, he constructed some symmetric tensor\nca
 tegories with faster-than-exponential growth-these are so-called\nDeligne 
 categories\, which can be interpreted as complex rank analogs\nof classica
 l representation categories. In this talk\, I will introduce\nthe notion o
 f symmetric tensor categories\, state Deligne’s Theorem\,\nand construct
  some of the Deligne categories.\n\nMC 5403
DTSTAMP:20260710T142520Z
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