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BEGIN:VEVENT
SUMMARY:Tautological integrals over curvilinear Hilbert schemes
DTSTART:20150929T151500
DTEND:20150929T170000
DTSTAMP:20260510T042346Z
UID:162c992ef1a99f337691cceade63002c3274b3a9e4e9627caa12df2f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gergely Bérczi\, (Oxford)\nThe punctual Hilbert scheme of k p
 oints on a smooth projective variety X parametrises zero dimensional subsc
 hemes of X of length k supported at one point. A point of the punctual Hil
 bert scheme is called curvilinear if it sits in the germ of a smooth curve
  on X. The irreducible component of the punctual Hilbert scheme containing
  these points is called the curvilinear component. We give a description o
 f the curvilinear Hilbert scheme as a projective completion of the non-red
 uctive quotient of holomorphic map germs from the complex line into X by h
 olomorphic polynomial reparametrisations. Using an algebraic model of this
  quotient and equivariant localisation we develop an iterated residue form
 ula for tautological integrals over the curvilinear component. We discuss 
 possible generalisations for other non-reductive moduli problems.
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STATUS:CONFIRMED
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