# Séminaires : Géométrie énumérative

 Equipe(s) : aa, Responsables : Penka Georgieva, Ilia Itenberg. Email des responsables : Salle : Adresse : Description

 Orateur(s) Guillaume Chapuy - CNRS et IRIF, Titre b-deformed Hurwitz numbers Date 14/04/2022 Horaire 16:00 à 17:00 Diffusion Résume I will talk about the papers arXiv:2109.01499 and arXiv:2004.07824 joint with Maciej Dołęga, and with Valentin Bonzom. By using the deformation of characters of the symmetric group obtained by deforming Schur functions into Jack polynomials, we introduce a one-parameter deformation of Hurwitz numbers, the b-deformed Hurwitz numbers''. The Goulden-Jackson b-conjecture from 1996 (and variants) asserts that these numbers are well defined (positive) and have to do with the enumeration of maps on non-oriented surfaces. I will talk about recent progress towards the conjecture, and other developments related to b-deformed "monotone" Hurwitz numbers and \beta-ensembles of random matrices. Salle 15-16-413 Adresse Jussieu
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