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SUMMARY:Fei Yan (Rutgers)
DTSTART:20210503T190000Z
DTEND:20210503T200000Z
DTSTAMP:20260423T035827Z
UID:WHCGP/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/32/">T
 wo tales of networks and quantization</a>\nby Fei Yan (Rutgers) as part of
  Western Hemisphere colloquium on geometry and physics\n\n\nAbstract\nI wi
 ll describe two quantization scenarios. The first scenario involves the co
 nstruction of a quantum trace map computing a new link "invariant" (with p
 ossible wall-crossing behavior) for links L in a 3-manifold M\, where M is
  a Riemann surface C times a real line. This construction computes familia
 r link invariants in a new way\, moreover it unifies that computation with
  the computation of protected spin characters counting ground states with 
 spin for line defects in 4d N=2 theories of class-S. Certain networks on C
  play an important role in the construction. The second scenario concerns 
 the study of Schroedinger equations and their higher order analogues\, whi
 ch could arise in the quantization of Seiberg-Witten curves in 4d N=2 theo
 ries. Here similarly certain networks play an important part in the exact 
 WKB analysis for these Schroedinger-like equations. At the end of my talk 
 I will also try to sketch a possibility to bridge these two quantization s
 cenarios. The first part of the talk is based on joint work with A. Neitzk
 e\; the final sketch is based on discussions with D. Gaiotto\, G. Moore an
 d A. Neitzke.\n
LOCATION:https://researchseminars.org/talk/WHCGP/32/
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