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SUMMARY:Iordanis Romaidis (University of Edinburgh)
DTSTART:20251217T100000Z
DTEND:20251217T110000Z
DTSTAMP:20260423T052455Z
UID:EQuAL/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/49/">H
 olonomic skein modules</a>\nby Iordanis Romaidis (University of Edinburgh)
  as part of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\nFor a
  reductive group G and a quantum parameter q\, skein theory assigns skein 
 algebras to surfaces and skein modules to 3-manifolds. Skein modules of cl
 osed 3-manifolds at generic q were conjectured by Witten to be finite-dime
 nsional—a statement later proved by Gunningham\, Jordan\, and Safronov. 
 In this talk\, I will present joint work with David Jordan on a generaliza
 tion of this conjecture to 3-manifolds with boundary. In this setting\, th
 e finiteness property is replaced by the condition that the skein module i
 s holonomic over the boundary skein algebra. Roughly\, a module is holonom
 ic if it is finitely generated and has a Lagrangian support. We prove holo
 nomicity for skein modules of GL2 and SL2​ by constructing transfer bimo
 dules\, and proving holonomicity preservation theorems analogous to those 
 in the classical theory of D-modules.\n
LOCATION:https://researchseminars.org/talk/EQuAL/49/
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