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SUMMARY:Interpolation tensor categories
DTSTART:20220322T140000
DTEND:20220322T153000
DTSTAMP:20260407T020907Z
UID:1b64fc7be020d8c03f00a3dbd93a7d1e6ff8063af30f27eced7a603e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Johannes Flake\, Aachen\nTensor categories\, that is\, loosely
  speaking\, categories with two operations ⊕ and ⊗\, lie at the heart 
 of modern representation theory\, various areas of algebra\, and mathemati
 cal physics. A class of tensor categories of recent interest consists of s
 o-called interpolation categories\, whose study was initiated by Pierre De
 ligne. An interpolation category can usually be defined in three equivalen
 t ways: representation theoretically via a family of algebraic objects\, l
 ike the collection of all symmetric groups\; categorically as a universal 
 tensor category subject to specific conditions\; and combinatorially via a
  graphical calculus involving string diagrams.\n\n\nIn the first part of t
 he talk\, I will explain this trinity of definitions and give a gentle int
 roduction to interpolation categories. In the second part\, I will explain
  some of my research on the structure of interpolation categories and thei
 r monoidal centers\, including joint work with N. Harman\, R. Laugwitz\, a
 nd S. Posur.
LOCATION:GC A1 416 https://plan.epfl.ch/?room==GC%20A1%20416
STATUS:CONFIRMED
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