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SUMMARY:New examples of quantum projective spaces [MPIM]
DTSTART:20241211T093000Z
DTEND:20241211T110000Z
DTSTAMP:20260317T061100Z
UID:indico-event-125@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mykola Matviichuk (MPIM)\n\nhttps://www.mpim-bonn.mp
 g.de/node/13722\nI will discuss how to construct a large collection of “
 quantum projective spaces”\, in the form of Koszul\, Artin-Schelter regu
 lar quadratic algebras with the Hilbert series of a polynomial ring. I wil
 l do so by starting with the toric ones (the qq-polynomial algebras)\, and
  then deforming their relations using a diagrammatic calculus\, proving un
 obstructedness of such deformations under suitable nondegeneracy condition
 s. Time permitting\, I will show that these algebras coincide with the can
 onical quantizations of corresponding families of quadratic Poisson struct
 ures. This provides new evidence to Kontsevich's conjecture about converge
 nce of his deformation quantization formula. This is joint work with Brent
  Pym and Travis Schedler.\n\nhttps://math-events.uni-bonn.de/event/125/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/125/
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