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SUMMARY:Jennifer Brown
DTSTART:20220413T150000Z
DTEND:20220413T160000Z
DTSTAMP:20260423T053139Z
UID:EmCats/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EmCats/6/">S
 kein Categories and Quantization</a>\nby Jennifer Brown as part of Em-Cats
 \n\n\nAbstract\nThe beautiful AJ conjecture predicts that a (yet-undefined
 ) quantization of one knot invariant — the A-polynomial — annihilates 
 another famous invariant\, the colored Jones polynomial. This conjecture w
 as formulated independently by both mathematicians and physicists\, and is
  open but well supported.\n\nThe term "quantization" comes from physics\, 
 where it describes the transition from a classical to a quantum descriptio
 n of a system. Mathematically\, it is a construction that deforms a commut
 ative algebra into a non-commutative one.\n\nThe A-polynomial is construct
 ed from the character variety of a knot's complement. We will describe rec
 ent work on quantizing this construction using skein categories\, with the
  help of categorical actions\, monads\, and representable functors. This t
 alk is based on joint work in progress with David Jordan and Tudor Dimofte
 .\n
LOCATION:https://researchseminars.org/talk/EmCats/6/
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