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SUMMARY:Andrew Neitzke (Yale University)
DTSTART:20200521T203000Z
DTEND:20200521T213000Z
DTSTAMP:20260423T024759Z
UID:M-seminar/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/M-seminar/6/
 ">Abelianization of flat connections\, and its q-deformation</a>\nby Andre
 w Neitzke (Yale University) as part of M-seminar\n\n\nAbstract\nAbelianiza
 tion of flat connections is a construction motivated by supersymmetric qua
 ntum field theory\, which has turned out to be connected to various bits o
 f geometry -- in particular\, to Donaldson-Thomas theory\, cluster algebra
 \, the exact WKB method for analysis of ODEs\, and hyperkahler geometry. I
 n some of these subjects it is known that there exists a natural q-deforma
 tion which takes us from the commutative to the noncommutative world. This
  suggests that there ought to exist a q-deformation of abelianization as w
 ell. I will explain joint work in progress with Fei Yan on constructing th
 is q-deformation in a geometric way using spectral networks. This construc
 tion is inspired by related work by various authors\, especially Bonahon-W
 ong\, Gabella\, Gaiotto-Witten. One byproduct is a new scheme for computin
 g known polynomial invariants of links in R^3\, which generalizes the usua
 l "vertex models".\n
LOCATION:https://researchseminars.org/talk/M-seminar/6/
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