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SUMMARY:Victor Roca i Lucio (Paris Cité University\, France)
DTSTART:20251020T150000Z
DTEND:20251020T160000Z
DTSTAMP:20260423T052458Z
UID:ENAAS/145
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/145/">
 Higher Lie theory in positive characteristic</a>\nby Victor Roca i Lucio (
 Paris Cité University\, France) as part of European Non-Associative Algeb
 ra Seminar\n\n\nAbstract\nGiven a nilpotent Lie algebra over a characteris
 tic zero field\, one can construct a group in a universal way via the Bake
 r-Campbell-Hausdorff formula. This integration procedure admits generaliza
 tions to dg Lie or L-infinity-algebras\, giving in general infinity-groupo
 id of deformations that it encodes\, as by the Lurie-Pridham correspondenc
 e\, infinitesimal deformation problems are equivalent to dg Lie algebras. 
 The recent work of Brantner-Mathew establishes a correspondence between in
 finitesimal deformation problems and partition Lie algebras over a positiv
 e characteristic field. In this talk\, I will explain how to construct an 
 analogue of the integration functor for certain point-set models of (spect
 ral) partition Lie algebras\, and how this integration functor can recover
  the associated deformation problem under some assumptions. Furthermore\, 
 I will discuss some applications of these constructions to unstable p-adic
  homotopy theory.\n
LOCATION:https://researchseminars.org/talk/ENAAS/145/
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