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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240627T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-paul-balduf
SUMMARY:Algebraic and Enumerative Combinatorics - Paul Balduf
CLASS:PUBLIC
DESCRIPTION:TITLE: Combinatorial proof of a Non-Renormalization Theorem\n\
 nSPEAKER:\n Paul Balduf\n\nAFFILIATION:\n University of Waterloo\n\nLOCATI
 ON:\n MC 5479\n\nThere will be a pre-seminar presenting relevant backgroun
 d at the\nbeginning graduate level starting at 1pm.\n\nABSTRACT: In \"Hig
 her Operations in Perturbation Theory\"\, Gaiotto\,\nKulp\, and Wu discuss
 ed Feynman integrals that controls certain\ndeformations in quantum field 
 theory. These integrals themselves are\ndifferential forms\, and the autho
 rs conjectured that one class of them\nsquares to zero. This phenomenon ca
 n be interpreted as absence of\nquantum corrections in topological quantum
  field theories with more\nthan one topological direction\, or as an analo
 gue of Kontsevich's\nformality theorem. In my talk\, I will present a pur
 ely combinatorial\nproof of the conjecture for arbitrary graphs. It is bas
 ed on graph\nmatrices and graph polynomials\, and a careful analysis of th
 e involved\nsigns and multiplicities. No knowledge or intution of the unde
 rlying\nphysics is required.\n\nIn the preseminar\, I will review the nece
 ssary definitions and\nproperties of graph polynomials\, and how they are 
 typically applied in\nFeynman integrals. If time permits\, I might also co
 mment on the\nphysical background.
DTSTAMP:20260403T082020Z
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