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SUMMARY:David Jordan (University of Edinburgh)
DTSTART:20260204T100000Z
DTEND:20260204T110000Z
DTSTAMP:20260423T052644Z
UID:EQuAL/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/51/">D
 efects in skein theory</a>\nby David Jordan (University of Edinburgh) as p
 art of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\nI will giv
 e an overview of some recent progress constructing skein module invariants
  of 3-manifolds with defects.  The defects to be discussed come in three d
 ifferent classes detailed below.  Warning: with all these examples to cove
 r\, there might be precious few proofs!\n\nI will explain how "electric-ma
 gnetic 1-form symmetry" arises in skein theory as invertible line defects\
 , and how it enters into (conjectural) electric-magnetic/Langlands/S-duali
 ty\, following joint work with Gunningham and Safronov.\n\nI will then dis
 cuss a recent work of Jennifer Brown and myself\; independent works of Jua
 n Ramon Gomez\; separate independent works of Julia Bierent and Matthias V
 ancraeynest\, which ares all around constructing defects in skein theory m
 odelling parabolic induction and restriction (by non-invertible plane defe
 cts)\, as well as Weyl group twists (by invertible line defects)\, with ap
 plications to the quantum A-polynomial\, the irregular Deligne--Simpson pr
 oblem and the abelianisation program of Gaiotto--Moore-Neitzke.\n\nFinally
 \, I will touch on some nascent joint work with Eric Chen and Iordanis Rom
 aidis aimed at constructing and analysing line defects associated to quant
 um symmetric pairs\, with a view towards exploring the relative Langlands 
 program of Ben-Zvi--Sakellaridis--Venkatesh.\n
LOCATION:https://researchseminars.org/talk/EQuAL/51/
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