# Séminaires : Séminaire Groupes, Représentations et Géométrie

 Equipe(s) : gr, Responsables : A. Brochier, O. Brunat, J.-Y. Charbonnel, O. Dudas, E. Letellier, D. Juteau, M. Varagnolo, E. Vasserot Email des responsables : Adrien Brochier , Olivier Brunat , Jean-Yves Charbonnel , Olivier Dudas , Emmanuel Letellier , Daniel Juteau , Michela Varagnolo , Eric Vasserot Salle : salle 2015, 2em étage, Adresse : Sophie Germain Description

 Orateur(s) J. SEKIGUCHI - , Titre On uniqueness problem of potential vector fields related with reflection groups Date 08/03/2019 Horaire 14:00 à 15:00 Diffusion Résume Potential vector fields (PVF) are solutions to a generalization of the WDVV equation and play an important role in the theory of flat structures. There is a $(\mathbb{C}^{\ast})^n$-action on the set of PVFs of $n$-variables with a same weight system. It is a question whether under this action, the set of polynomial potential vector fields is a unique orbit or not. On the other hand, there is an interesting relationship between polynomial PVFs and well-generated complex reflection groups. In this talk, I explain the definition of PVF and its application to complex reflection groups. In particular I discuss a problem of uniqueness of polynomial PVFs related with well-generated complex reflection groups. Salle salle 2015, 2em étage, Adresse Sophie Germain