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SUMMARY:Centers in operadic deformation theory [MPIM]
DTSTART:20261029T140000Z
DTEND:20261029T150000Z
DTSTAMP:20261101T232300Z
UID:indico-event-1672@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sonja Maria Farr (MPIM)\n\nMPI-Oberseminar\nA formal
  moduli problem is a space modeling the formal neighborhood of a point in 
 a moduli stack. By the Lurie-Pridham correspondence\, every formal moduli 
 problem in characteristic 0 is controlled by a dg Lie algebra. Calaque-Cam
 pos-Nuiten proved an operadic version of this correspondence\, showing tha
 t formal moduli problems parametrized by algebras over a sufficiently nice
  dg operad correspond to algebras over the Koszul dual operad. A basic exa
 mple is the deformation theory of an 𝐸_n -algebra . By a result of J. F
 rancis\, this is a 𝐸_{n+1} -formal moduli problem controlled by the E_n
 -Hochschild cohomology of 𝐴\, recovering the familiar principle that Ho
 chschild cohomology controls deformations. In this talk I will explain a r
 ecent result of mine extending this picture to dg operads\, proving that t
 he derived center of an algebra controls its operadic deformation theory\n
 \nhttps://math-events.uni-bonn.de/event/1672/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1672/
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