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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240311T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240311T153000
URL:https://uwaterloo.ca/pure-mathematics/events/colloquium-37
SUMMARY:Colloquium
CLASS:PUBLIC
DESCRIPTION:NOAH SNYDER\, INDIANA UNIVERSITY\n\n\"TENSOR CATEGORIES\, STRIN
 G DIAGRAMS\, AND THE QUANTUM EXCEPTIONAL\nSERIES\"\n\nA representation of 
 a group is a vector space on which the group acts\nlinearly\, and the coll
 ection of all finite dimensional representations\nof a group forms a struc
 ture called a tensor category. Unlike ordinary\nalgebra which is written o
 n a line (you can multiply on the left or on\nthe right)\, tensor categori
 es are better understood by doing\ncalculations using diagrams in higher d
 imensions! In particular\,\n\"braided\" tensor categories have 3-dimension
 al diagrams which are\nclosely connected to knot polynomials like the Jone
 s Polynomial\, the\nKauffman Polynomial\, and the HOMFLY-PT polynomial. I 
 will explain how\nthe Kauffman polynomial is related to the family of orth
 ogonal groups\nO(n)\, and at the end of the talk I will introduce a new co
 njectural\nknot polynomial related to the Exceptional Lie groups (from wor
 k joint\nwith Thurston and joint in part with Morrison arxiv:2402.03637).\
 n\nMC 5501
DTSTAMP:20260505T133119Z
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