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SUMMARY:The finiteness conjecture for skein modules - Sam Gunningham\, KCL
DTSTART:20200429T150000Z
DTEND:20200429T160000Z
UID:TALK139069@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: The Kauffman bracket skein module of an oriented 3-manifold M
  is a vector space (depending on a parameter q) which is generated by fram
 ed links in M modulo certain skein relations. The goal for the talk is the
  explain our recent proof (joint with David Jordan and Pavel Safronov) tha
 t the skein module of a closed 3 manifold is finite dimensional for generi
 c q\, confirming a conjecture of Witten.  The proof involves interpreting 
 skein modules as deformation quantization of SL(2\,C)-character varieties\
 , and uses a result on holonomic modules due to Kashiwara and Schapira. Ti
 me permitting\, I will explain the connection with Abouzaid--Manolescu's s
 heaf theoretic model for Floer cohomology.
LOCATION:MR13
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