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SUMMARY:Travis Mandel (OU)
DTSTART:20230223T195000Z
DTEND:20230223T205000Z
DTSTAMP:20260423T005751Z
UID:GPRTatNU/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/75/
 ">Bracelet bases are theta bases</a>\nby Travis Mandel (OU) as part of Geo
 metry\, Physics\, and Representation Theory Seminar\n\n\nAbstract\nCluster
  algebras from marked surfaces can be interpreted as skein algebras\, as f
 unctions on decorated Teichmüller space\, or as functions on certain modu
 li of SL2-local systems.  These algebras and their quantizations have well
 -known collections of special elements called "bracelets" (due to Fock-Gon
 charov and Musiker-Schiffler-Williams\, and due to D. Thurston in the quan
 tum setting).  On the other hand\, Gross-Hacking-Keel-Kontsevich used idea
 s from mirror symmetry to construct canonical bases of "theta functions" f
 or cluster algebras\, and this was extended to the quantum setting in my w
 ork with Ben Davison.  I will review these constructions and describe rece
 nt work with Fan Qin in which we prove that the (quantum) bracelets bases 
 coincide with the corresponding (quantum) theta bases.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/75/
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