Dia: Dimecres 11 de febrer de 2026
Lloc: Aula 004, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.
A càrrec de: Alejandro Cabrera (UPC)
Títol: Relating dynamical systems and certain singular spaces
Resum: The aim of this talk is to give an overview of joint work with M. del Hoyo and E. Pujals (2020) in which we relate the study of (discrete) dynamical systems to that of its -typically singular- space of orbits, seen as a so-called differentiable stack. In the first part, I will motivate this observation and give a brief introduction to differentiable stacks. I will then explain the main results stating that, for simply connected manifolds, the stack of orbits allows one to recover a dynamics up to conjugation and inversion. I finally discuss some applications, including a geometric version of a celebrated result of M.Rieffel in the context of C* algebras for distinguishing irrational rotations of the circle.
Last updated: Tue Feb 10 11:22:26 2026