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UID:140645ea08f2a88c476d99d6cc876429
DTSTAMP:20260720T065639Z
SUMMARY:GATP Seminar – Dmitry Kubrak (Orsay): Categorical quantizations o
 f symplectic varieties in char p
DESCRIPTION:Originally motivated by physics\, mathematically a quantization
  of a Poisson variety X is simply a formal 1-parameter deformation of its 
 sheaf of functions that in the first approximation agrees with the Poisson
  bracket. In the algebraic context such quantizations tend not to exist gl
 obally due to a possible non-vanishing of cohomology of relevant coherent 
 sheaves. It was observed by Kontsevich that in the algebraic context it mi
 ght in fact be more natural to consider formal deformations of the categor
 y QCoh(X) rather than the sheaf of algebras O_X. I will talk about joint w
 ork with Bogdanova\, Travkin and Vologodsky where\, building on the work o
 f Bezrukavnikov and Kaledin\, we construct a canonical such categorical qu
 antization for symplectic varieties in char p. An interesting feature of c
 har p is that this quantization in fact naturally extends from the formal 
 disk to a family of categories over P^1 which carries strong resemblance w
 ith the Simpson’s twistor space picture.
URL:https://www.imperial.ac.uk/events/206706/gatp-seminar-dmitry-kubrak-ors
 ay-categorical-quantizations-of-symplectic-varieties-in-char-p/
DTSTART;TZID=Europe/London:20260303T110000
DTEND;TZID=Europe/London:20260303T130000
LOCATION:Huxley 642\, Huxley Building\, South Kensington Campus\, Imperial 
 College London\, London\, SW7 2AZ\, United Kingdom
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DTSTART:20260303T110000
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