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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191002T124827Z
DTSTART:20191003T133000Z
DTEND:20191003T143000Z
SUMMARY:Theodore Voronov - Thick morphisms and spinor representation
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}wnq-k0z4tyc
1-lo3w6x
DESCRIPTION:Theodore Voronov joins us for the Geometry\, Topology and Mat
hematicals Physics Seminar. \n\nAbstract:\n\nThick morphisms (also calle
d microformal morphisms) between manifolds or supermanifolds are a gener
alization of smooth maps --- and which are not usual maps\, but rather r
elation between the corresponding cotangents\, equipped with some extra
data. They were discovered for the purpose of constructing L-infinity mo
rphisms of higher (homotopy) brackets\, when manifolds in question have
an S-infinity ("homotopy Schouten") or P-infinity ("homotopy Poisson") s
tructure. The key feature of thick morphisms is that they induce NONLINE
AR\, in general\, pullbacks on functions. (This nonlinearity is exactly
the feature making them useful for homotopy brackets purposes.) It was a
lso found that there is a "quantum version" of thick morphisms in the fo
rm of integral operators of special type. Such "quantum pullbacks" can b
e seen as a generalization of spinor representation\, as it became clear
recently. I will try to explain all that.\n\n(Based on a joint work wit
h H. Khudaverdian\, see https://arxiv.org/abs/1909.00290.)
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams Room 1\, Alan Turing Building\, Manchester
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