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SUMMARY:Cary Malkiewich (Binghamton University)
DTSTART:20201120T183000Z
DTEND:20201120T200000Z
DTSTAMP:20260404T095735Z
UID:GMU_TADS/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GMU_T
 ADS/1/">The higher characteristic polynomial</a>\nby Cary Malkiewich (Bing
 hamton University) as part of Topology\, Algebraic Geometry\, and Dynamics
  Seminar GMU\n\n\nAbstract\nIn this talk I will discuss various lifts of t
 he characteristic polynomial to the setting of algebraic K-theory\, and de
 scribe the relationship to trace methods and to topological fixed-point th
 eory and dynamics.\n
LOCATION:https://stable.researchseminars.org/talk/GMU_TADS/1/
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SUMMARY:Pavel Mnev (Notre Dame)
DTSTART:20201204T183000Z
DTEND:20201204T200000Z
DTSTAMP:20260404T095735Z
UID:GMU_TADS/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GMU_T
 ADS/2/">Chern-Simons theory on cylinders and generalized Hamilton-Jacobi a
 ctions</a>\nby Pavel Mnev (Notre Dame) as part of Topology\, Algebraic Geo
 metry\, and Dynamics Seminar GMU\n\n\nAbstract\nWe study the perturbative 
 path integral of Chern-Simons theory on a cylinder [0\,1]x Sigma with a ho
 lomorphic polarization on the boundaries\, in the context of Batalin-Vilko
 visky quantization (or rather its variant compatible with cutting-gluing\,
  the “BV-BFV quantization”). We find that\, in the case of non-abelian
  3D Chern-Simons\, the fiber BV integral for the system produces the gauge
 d WZW model on Sigma. Classically\, the result corresponds to computing a 
 “generalized Hamilton-Jacobi action” for Chern-Simons theory on a cyli
 nder — a generating function (in an appropriate sense) for the evolution
  relation induced on the boundary conditions by the equations of motion. A
  similar setup applied to 7D abelian Chern-Simons on a cylinder [0\,1] x S
 igma\, with Sigma a Calabi-Yau of (real) dimension 6\, with a linear polar
 ization on one side and a nonlinear (Hitchin) polarization on the other si
 de\, is related to the Kodaira-Spencer (a.k.a. BCOV) theory.\nIn the talk\
 , I will introduce the concept of generalized Hamilton-Jacobi functions in
  the example of classical mechanics with constraints described by an equiv
 ariant moment map and proceed to discuss the examples above. This is a rep
 ort on a joint work with Alberto S. Cattaneo and Konstantin Wernli.\n
LOCATION:https://stable.researchseminars.org/talk/GMU_TADS/2/
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