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SUMMARY:Deformation Theory and Nilpotent Algebras - Sofía Marlasca Aparic
 io\, University of Oxford
DTSTART:20251121T160000Z
DTEND:20251121T170000Z
UID:TALK234850@talks.cam.ac.uk
CONTACT:Kelly Wang
DESCRIPTION:We will give an introduction to the deformation of algebraic v
 arieties\, and its relationship with differential graded Lie algebras (in 
 characteristic zero). This can only be made precise through the language o
 f higher category theory\, replacing sets of deformations with spaces of d
 eformations and rings with animated rings. We will conclude by introducing
  new results decomposing differential graded Lie algebras into simpler pie
 ces corresponding to the Koszul dual of the truncations of the commutative
  operad. This has applications in studying nilpotent algebras and deformat
 ion theory in condensed mathematics.
LOCATION:MR13
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