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SUMMARY:Kim Jung-Wook (Albert Einstein Institute)
DTSTART:20250425T130000Z
DTEND:20250425T140000Z
DTSTAMP:20260423T004733Z
UID:ACPMS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/50/">A
 lgebra of graphs for scattering dynamics</a>\nby Kim Jung-Wook (Albert Ein
 stein Institute) as part of Algebraic and Combinatorial Perspectives in th
 e Mathematical Sciences\n\n\nAbstract\nFeynman diagrams are an iconic inst
 ance of diagrammatic tools in theoretical physics\, which were developed f
 or describing quantum scattering dynamics of particles in quantum field th
 eory. With a small modification to diagrammatic rules\, the Feynman diagra
 ms can be repurposed to describe classical scattering dynamics\, where roo
 ted tree graphs are given a special role of computing the impulse (momentu
 m change from scattering). I will explain how repackaging the classical sc
 attering dynamics as a symmetry transformation (symplectic transformation)
  leads to the Poisson algebra of directed tree graphs\, the Magnus series\
 , and the Hopf algebra of graphs by Calaque\, Ebrahimi-Fard\, and Manchon.
  This talk is based on arXiv:2410.22988 [hep-th]\, a work in collaboration
  with Joon-Hwi Kim\, Sungsoo Kim\, and Sangmin Lee.\n
LOCATION:https://researchseminars.org/talk/ACPMS/50/
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