Event
Janosch Ortman, UQAM, CRM
Asymptotics for quantum weighted double Hurwitz numbers.
Hurwitz numbers count branched coverings of the Riemann sphere and factorisations of the identity permutations. I will discuss certain weighted sums of Hurwitz numbers and explain how these can be interpreted as expectation values under a sequence of probability measures on integer partitions. By describing the weak limit of this sequence we obtain asymptotics for quantum weighted Hurwitz numbers in the classical as well as the zero-temperature limit.