Lie groupoids for PDE analysis

Description:  Lie groupoids are effective tools for studying singular spaces, which explains their popularity in Poisson geometry, foliation theory and other fields of mathematics. They serve as natural desingularisations and come with an array of useful tools. In recent years, it was understood that analytic structures associated to Lie groupoids allow to go beyond geometry and study various classes of singular PDEs. For example, one can find their closure, study their essential spectrum or write generalisations of standard elliptic estimates. In this talk I will explain some of those techniques, developed mainly by people working in non-commutative geometry, and how I used them myself to study the Laplace-Beltrami operator on almost-Riemannian manifolds. Date:  2022-06-29 Start Time:   14:30 Speaker:  Ivan Beschastnyi (CIDMA, Univ. Aveiro) Institution:  CIDMA, Univ. Aveiro Research Groups: -Geometry See more:   <Main>