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SUMMARY:Homological perturbation theory for cyclic L-infinity algebras [MP
 IM]
DTSTART:20260914T120000Z
DTEND:20260914T130000Z
DTSTAMP:20260909T112900Z
UID:indico-event-1570@math-events.uni-bonn.de
DESCRIPTION:Speakers: Ezra Getzler (Northwestern University)\n\nMPIM Topol
 ogy Seminar\nHomological perturbation theory is a way of transporting alge
 braic structures from a complex to a homotopy retract. For example\, a hom
 otopy retract of a dg algebra has a canonical A-infinity structure (under 
 suitable convergence hypotheses)\, and a homotopy retract of a dg Lie alge
 bra has a canonical L-infinity structure. There is also a canonical A-infi
 nity/L-infinity morphism from the original dg (Lie) algebra to its homotop
 y retract.\nThe problem I address in this talk\, motivated by questions in
  mathematical physics\, is to extend this story to cyclic L-infinity algeb
 ras: according to Kontsevich\, these are essentially the same thing as sym
 plectic formal derived stacks\, and the variant of homological perturbatio
 n theory that I will explain has a differential geometric flavour\, since 
 it is based on integrating a vector field on this derived stack.\nTime per
 mitting\, I will mention how to carry out similar arguments in the associa
 tive\, and commutative\, settings. In fact\, all of these constructions ex
 tend to algebras over a cyclic Koszul operad.\nI will not assume prior fam
 iliarity with L-infinity algebras\, or homological perturbation theory.\n\
 nhttps://math-events.uni-bonn.de/event/1570/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1570/
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