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BEGIN:VEVENT
SUMMARY:Alexander Kuznetsov
DTSTART;VALUE=DATE-TIME:20210920T130000Z
DTEND;VALUE=DATE-TIME:20210920T134500Z
DTSTAMP;VALUE=DATE-TIME:20240423T105248Z
UID:ncshapes/1
DESCRIPTION:Title: Simultaneous categorical resolutions\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;VALUE=DATE-TIME:20210920T080000Z
DTEND;VALUE=DATE-TIME:20210920T084500Z
DTSTAMP;VALUE=DATE-TIME:20240423T105248Z
UID:ncshapes/2
DESCRIPTION:Title: Quantisation in monoidal categories and quantum operads\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;VALUE=DATE-TIME:20210920T140000Z
DTEND;VALUE=DATE-TIME:20210920T144500Z
DTSTAMP;VALUE=DATE-TIME:20240423T105248Z
UID:ncshapes/3
DESCRIPTION:Title: From geometric quantization to noncommutative algebraic geometry\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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