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UID:pretalx-qtcat-2026-DRCAUD@pretalx.c3voc.de
DTSTART;TZID=CET:20260813T113000
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DESCRIPTION:While there are several formalisms for quantum field theory\, a
  rigorous mathematical description is still not available. In some areas\,
  as for example in conformal field theory\, one is better equipped and pro
 per definitions like vertex algebras can be made.\n\nBy introducing the co
 ncept of a chiral algebra on an algebraic curve\, Beilinson and Drinfeld h
 ave provided a reformulation of vertex algebras that centers around the si
 milarity between the operator product expansion and the Jacobi identity fo
 r Lie algebras. Concretely\, a chiral algebra is a Lie algebra in the cate
 gory of D-modules. While for vertex algebras a generalisation to algebraic
  varieties of higher dimension seems very difficult\, higher chiral algebr
 as can be defined within the theory of quasi-categories. Via a polysimplic
 ial model of the derived sections on configuration spaces\, in joint work 
 with Zhengping Gui and Charles Young\, we have shown that the fundamental 
 example reassembles a strong homotopy Lie algebra. \n\nLurie introduced a 
 construction in the topological setting that links En-algebras to factoris
 ation algebras\, the Koszul dual of chiral algebras. Together with Keyou Z
 eng\, our aim is to unify both pictures with the purpose of describing mix
 ed topological/holomorphic theories in analogy to the notions of raviolo v
 ertex algebras and configuration spaces as described in Alfonsi\, Kim\, Yo
 ung.
DTSTAMP:20260812T210545Z
LOCATION:R. 221
SUMMARY:From Higher to Raviolo Chiral Algebras - Laura Olivia Felder
URL:https://pretalx.c3voc.de/qtcat-2026/talk/DRCAUD/
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