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CATEGORIES:Geometry and Mathematical Physics seminar
SUMMARY:Topological Recursion\, Hurwitz theory\, and modul
i spaces of curves - Danilo Lewanski\, Max Planck
Institute for Mathematics in Bonn
DTSTART:20191022T133000Z
DTEND:20191022T143000Z
UID:TALK3924AT
URL:/talk/index/3924
DESCRIPTION:Topological recursion (TR) is a technique develope
d by Chekhov\, Eynard and Orantin about ten/fiftee
n years ago\, which computes invariants recursivel
y from the given input data of a spectral curve\,
even in the case the spectral curve is not provide
d by a matrix model. \nExamples of these invariant
s include Mirzakhani’s volumes of moduli spaces of
hyperbolic surfaces\, Gromov-Witten invariants\,
Hurwitz numbers of several kinds\, Tutte’s enumera
tion of maps\, asymptotics of coloured Jones polyn
omials of knots\, and more. \nIn particular\, Hurw
itz theory provides a good set of enumerative geom
etric problems whose numbers are (in some cases st
ill conjecturally) generated via TR for different
explicit spectral curves. Interestingly enough\, t
hese numbers are always linked to the cohomology o
f the moduli spaces of curves\, and at the same ti
me with integrable hierarchies of type 2D Toda or
KP\, contributing to the understanding of the inte
raction between Geometry and Mathematical Physics.
LOCATION:Poynting Small Lecture Theatre (S06)
CONTACT:Timothy Magee
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