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SUMMARY:Grigorios Giotopoulos (NYU Abu Dhabi)
DTSTART:20240213T160000Z
DTEND:20240213T173000Z
DTSTAMP:20260422T174422Z
UID:tandg/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/15/">S
 mooth sets as a convenient setting for Lagrangian field theory</a>\nby Gri
 gorios Giotopoulos (NYU Abu Dhabi) as part of Topology and Geometry Semina
 r (Texas\, Kansas)\n\n\nAbstract\nIn this talk\, I will indicate how the s
 heaf topos of smooth sets serves as a sufficiently powerful and convenient
  context to host classical (bosonic) Lagrangian field theory. As motivatio
 n\, I will recall the textbook description of variational Lagrangian field
  theory\, and list desiderata for an ambient category in which this can ri
 gorously be phrased. I will then explain how sheaves over Cartesian spaces
  naturally satisfy all the desiderata\, and furthermore allow to rigorousl
 y formalize several more field theoretic concepts. Time permitting\, I wil
 l indicate how the setting naturally generalizes to include the descriptio
 n of (perturbative) infinitesimal structure\, fermionic fields\, and (gaug
 e) fields with internal symmetries. This is based on joint work with Hisha
 m Sati.\n
LOCATION:https://researchseminars.org/talk/tandg/15/
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