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SUMMARY:Jennifer Brown (Yale University)
DTSTART:20230621T160000Z
DTEND:20230621T170000Z
DTSTAMP:20260423T040227Z
UID:TQFT/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/86/">De
 fect Skein Theories</a>\nby Jennifer Brown (Yale University) as part of To
 pological Quantum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nTwo fiel
 d theories can sometimes meet at a codimension one defect\, which carries 
 the information on how to transition between the bulk theories.\n\nStratif
 ied factorization homology is a tool for constructing such theories with d
 efects from their local coefficient systems. One well-motivated example is
  parabolic induction\, in which $\\operatorname{Rep}_q G$ is reduced to th
 e $q$-commutative $\\operatorname{Rep}_q T$ theory via Borel reduction alo
 ng a defect. This is the stacky setting for Fock–Goncharov's cluster coo
 rdinates. It is also a natural context for constructing the quantum A-poly
 nomial.\n\nThe talk will start with an introduction to stratified spaces a
 nd factorization homology\, and will include a review of skein relations a
 nd categories. We will focus on surfaces with line defects\, building the 
 associated skein theory and discussing how it computes the relevant strati
 fied factorization homology.\n
LOCATION:https://researchseminars.org/talk/TQFT/86/
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