BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Severin Barmeier (University of Cologne\, Germany) DTSTART:20220512T110000Z DTEND:20220512T120000Z DTSTAMP:20260423T024755Z UID:LAGOON/69 DESCRIPTION:Title: Deformations of categories of coherent sheaves via quivers with relations< /a>\nby Severin Barmeier (University of Cologne\, Germany) as part of Long itudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\n In this talk I will explain how to use the deformation theory of path alge bras of quivers with relations to give a concrete and complete description of the deformation theory of the Abelian category coh(X) of coherent shea ves on any separated Noetherian scheme X. Deformations of coh(X) are a gen erous source of interesting examples of noncommutative schemes arising as an amalgamation of classical deformations of X\, quantizations of Poisson structures on X and twists of the structure sheaf. Lowen and Van den Bergh showed that the deformation theory of coh(X) is equivalent to the deforma tion theory of a certain associative algebra\, namely the "diagram algebra " associated to the restriction of the structure sheaf to any affine open cover. When X is Noetherian\, this associative algebra and its deformation s can be described concretely via a finite quiver with relations. This tal k is based on arXiv:2107.07490 and arXiv:2002.10001 both joint with Zhengf ang Wang.\n\nMeeting Link\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=TjN ZV1lNdVJNOWUrR2xNalRuQWk3dz09\n\nMeeting ID: 918 7552 8987\nPassword: LAGO ON2022\n LOCATION:https://researchseminars.org/talk/LAGOON/69/ END:VEVENT END:VCALENDAR