BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Travis Schedler (Imperial College London\, UK) DTSTART:20250625T120000Z DTEND:20250625T130000Z DTSTAMP:20260423T022922Z UID:LAGOON/103 DESCRIPTION:Title: Creating quantum projective spaces by deforming q-symmetric algebras\ nby Travis Schedler (Imperial College London\, UK) as part of Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nI will e xplain how to construct new "quantum projective spaces"\, in the form of K oszul\, Calabi–Yau algebras with the Hilbert series of a polynomial ring . To do so we deform the relations of toric ones — q-symmetric algebras — using a diagrammatic calculus. Such deformations are unobstructed unde r suitable nondegeneracy conditions\, which also guarantee that the algebr as are Kontsevich's canonical quantizations of corresponding quadratic Po isson structures. This produces the first broad class of quadratic Poisson structures for which his quantization can be computed and shown to conver ge\, as he conjectured in 2001. On the other hand\, we also give examples of purely noncommutative deformations\, which cannot be obtained by quanti zing Poisson structures. This is joint work with Mykola Matviichuk and Bre nt Pym.\n\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVR zREhoRE1PUT09\n\nMeeting ID: 918 7552 8987\nPassword: LAGOON\n LOCATION:https://researchseminars.org/talk/LAGOON/103/ END:VEVENT END:VCALENDAR