Ομιλητής : Δημήτριος Γεροντογιάννης, Leiden University
Μέρος, ώρα : Παρασκευή, 15 Δεκεμβρίου 2023, Αίθουσα Α22, Τμήμα Μαθηματικών, ΕΚΠΑ , Ώρα: 13:00
Τίτλος : “The logarithmic Dirichlet Laplacian on Ahlfors regular spaces”
Abstract : ”The Laplace-Beltrami operator is a fundamental tool in the study of compact Riemannian manifolds. In this talk, I will introduce the logarithmic analogue of this operator on Ahlfors regular spaces.
These are metric-measure spaces that might lack any differential or algebraic structure. Examples are compact Riemannian manifolds, several fractals, self-similar Smale spaces and limit sets of hyperbolic isometry groups. Further, this new operator is intrinsically defined, its spectral properties are analogous to those of elliptic pseudo-differential operators on manifolds and exhibits compatibility with non-isometric actions in the sense of noncommutative geometry. This is joint work with Bram Mesland (Leiden).”
Το πρόγραμμα του σεμιναρίου για το ακαδημαϊκό έτος 2023-24 βρίσκεται στη διεύθυνση: