17/01/2025, 15:30 — 16:15 — Room 1.09, Faculdade de Ciências da Universidade do Porto
Ivan Beschastnyi, Université Côte d'Azur
Geometry and analysis on Grushin manifolds
Grushin manifolds form a class of singular Riemannian manifolds, where the metric degenerates or explodes in a uniform way when approaching a given submanifold of codimension one. It turns out to be a surprisingly rich class with a variety of geometric and analytic phenomena. For example, one construct Grushin manifolds with exploding metric and finite distance or incomplete manifolds with self-adjoint Laplace-Beltrami operator. I will give an overview of known results concerning those manifolds and discuss some open problems.
