A tropical approach to the piecewise polynomiality of monotone Hurwitz numbers

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• Marvin Anas Hahn (University of Tubingen, Germany)
• Wednesday 15 November 2017, 13:00-13:45
• LTB Watson.

If you have a question about this talk, please contact Sergey Sergeev.

part of: LMS Workshop on Tropical Mathematics and its Applications

Hurwitz numbers are important enumerative objects connecting various areas of mathematics. These objects 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 Hurwitz-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 monotone double Hurwitz numbers and tropical covers in order to give algorithms to compute the polynomials for monotone double Hurwitz numbers using Erhart theory.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

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