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SUMMARY:Petr Hořava (UC Berkeley)
DTSTART:20221213T193000Z
DTEND:20221213T203000Z
DTSTAMP:20260423T024622Z
UID:nhetc/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/nhetc/60/">T
 opological Quantum Gravity of the Ricci Flow</a>\nby Petr Hořava (UC Berk
 eley) as part of NHETC Seminar\n\n\nAbstract\nUsing the techniques of coho
 mological quantum field theories\, we construct a topological nonrelativis
 tic quantum gravity\, designed around the mathematical theory of the Ricci
  flow on Riemannian manifolds\, as used by Perelman in his proof of the Po
 incare conjecture and Thurston's geometrization theorem.  This quantum fie
 ld theory brings together three\, previously not directly related areas:  
 Topological field theory of the cohomological type\, nonrelativistic quant
 um gravity of the Lifshitz type\, and the mathematics of geometric flows o
 n manifolds.  We identify the precise theory whose path integral localizes
  to the solutions of the Perelman's version of the Ricci flow equations\, 
 and identify various features of Perelman's construction in the physics la
 nguage\, such as Perelman's entropy functional (which plays the role of ou
 r superpotential)\, Perelman's dilaton field (which maps to the lapse func
 tion of nonrelativistic gravity)\, and others.  With this embedding of Per
 elman's Ricci flow to topological quantum gravity\, many intriguing result
 s about the structure of the flow accumulated on the mathematical side in 
 the past two decades can now be imported into the physical picture in the 
 path integral formulation of quantum gravity.\n
LOCATION:https://researchseminars.org/talk/nhetc/60/
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