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BEGIN:VEVENT
SUMMARY:Alexander Kuznetsov
DTSTART:20210920T130000Z
DTEND:20210920T134500Z
DTSTAMP:20260415T183504Z
UID:ncshapes/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ncshapes/1/"
 >Simultaneous categorical resolutions</a>\nby Alexander Kuznetsov as part 
 of Noncommutative Shapes - halfway event\n\n\nAbstract\nIt is a classical 
 fact\, that for a family of surfaces over a smooth curve with smooth gener
 al fiber\, if the special fiber has only rational double points as singula
 rities\, then after a possible finite base change\, one can resolve the si
 ngularities of the total space and the special fiber by a common blowup. I
  will talk about a categorical version of this construction that surprisin
 gly also works in higher dimensions and\, if time permits\, about its appl
 ications.\n
LOCATION:https://researchseminars.org/talk/ncshapes/1/
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BEGIN:VEVENT
SUMMARY:Yuri Manin
DTSTART:20210920T080000Z
DTEND:20210920T084500Z
DTSTAMP:20260415T183504Z
UID:ncshapes/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ncshapes/2/"
 >Quantisation in monoidal categories and quantum operads</a>\nby Yuri Mani
 n as part of Noncommutative Shapes - halfway event\n\n\nAbstract\nThe most
  standard description of symmetries of a mathematical structure produces a
  group. However\, when the definition of this structure is motivated by ph
 ysics\, or information theory\, etc.\, the respective symmetry objects mig
 ht become more sophisticated: quasigroups\, loops\, quantum groups\, ... I
 n this talk I introduce and study quantum symmetries of very general categ
 orical structures: operads. Its initial motivation were spaces of probabil
 ity distributions on finite sets.\n
LOCATION:https://researchseminars.org/talk/ncshapes/2/
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BEGIN:VEVENT
SUMMARY:Marco Gualtieri
DTSTART:20210920T140000Z
DTEND:20210920T144500Z
DTSTAMP:20260415T183504Z
UID:ncshapes/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ncshapes/3/"
 >From geometric quantization to noncommutative algebraic geometry</a>\nby 
 Marco Gualtieri as part of Noncommutative Shapes - halfway event\n\n\nAbst
 ract\nThe usual homogeneous coordinate rings studied in algebraic geometry
  may be obtained from quantization of the integer multiples of a symplecti
 c structure\, via the choice of a complex polarization. I will explain how
  this framework may be deformed\, making contact with noncommutative algeb
 raic geometry. The main tool will be the deformation of the complex polari
 zation to a generalized complex polarization. This is joint work with Fran
 cis Bischoff (arXiv:2108.01658).\n
LOCATION:https://researchseminars.org/talk/ncshapes/3/
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