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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260716T110000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-jack-jia-complex-rank
SUMMARY:Algebraic Geometry Working Seminar | Jack Jia | Complex Rank Analog
 s\nof Representation Categories
CLASS:PUBLIC
DESCRIPTION:JACK JIA\, UNIVERSITY OF WATERLOO\n\n_Complex Rank Analogs of R
 epresentation Categories_\n\nCategories of representations of groups are w
 ell-behaved: They are\nabelian (behave like module categories)\, symmetric
  monoidal (have\ntensor products)\, every object has a dual and is semi-si
 mple\, to name\na few. A natural question to ask is whether every category
  that\nexhibits similar behaviour is a representation category. Deligne\np
 roved a remarkable theorem that shows every symmetric tensor category\nwit
 h some imposed growth condition is in fact a category of\nrepresentations.
  Moreover\, he constructed some symmetric tensor\ncategories with faster-t
 han-exponential growth-these are so-called\nDeligne categories\, which can
  be interpreted as complex rank analogs\nof classical representation categ
 ories. In this talk\, I will introduce\nthe notion of symmetric tensor cat
 egories\, state Deligne's Theorem\,\nand construct some of the Deligne cat
 egories. \n\nMC 5403
DTSTAMP:20260916T143541Z
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