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SUMMARY:Derived operadic centers in deformation quantization [MPIM]
DTSTART:20260825T090000Z
DTEND:20260825T103000Z
DTSTAMP:20260822T032500Z
UID:indico-event-1542@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sonja Farr (MPIM)\n\nAbstract Homotopy Theory Semina
 r\nIt is well known that Hochschild cohomology and\, in particular\, the a
 lgebraic structure it carries\, plays a central role in studying the infin
 itesimal noncommutative deformations of geometric spaces. We construct a c
 anonical solution to Deligne’s conjecture for Hochschild cochains on a s
 cheme\, even for the singular case\, by exhibiting the Hochschild complex 
 as an ∞-operadic center. We show that this equips the Hochschild complex
  with a universal E2-algebra structure that precisely agrees with the clas
 sical Gerstenhaber bracket and cup product on cohomology in the affine and
  smooth cases. Our motivation stems from the mysterious appearance of the 
 square root of the Todd genus in Kontsevich’s formality theorem in defor
 mation quantization\, as well as the conjectural relationships between the
 se objects and the motivic Galois group.\n \n \n\nhttps://math-events.un
 i-bonn.de/event/1542/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1542/
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