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VERSION:2.0
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CATEGORIES:Optimisation and Numerical Analysis Seminars
SUMMARY:A tropical approach to the piecewise polynomiality
of monotone Hurwitz numbers - Marvin Anas Hahn (U
niversity of Tubingen\, Germany)
DTSTART:20171115T130000Z
DTEND:20171115T134500Z
UID:TALK2984AT
URL:/talk/index/2984
DESCRIPTION:Hurwitz numbers are important enumerative objects
connecting various areas of mathematics. These obj
ects can be defined in terms of factorisations in
the symmetric group. Double Hurwitz numbers are a
class of Hurwitz-type counts of specific interest.
In recent years a related counting problem in the
context of random matrix theory was introduced as
so-called monotone double Hurwitz numbers. These
can be viewed as a desymmetrised version of the Hu
rwitz-problem and it was proved that these objects
are piecewise polynomial in a certain sense. The
aim of this talk is to use a connection between mo
notone double Hurwitz numbers and tropical covers
in order to give algorithms to compute the polynom
ials for monotone double Hurwitz numbers using Erh
art theory.
LOCATION:LTB Watson
CONTACT:Sergey Sergeev
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