| Sunday 13 July 2025 | |
| Events for day: Wednesday 04 December 2024 |
| 14:00 - 15:00 Combinatorics and Computing Weekly Seminar Limit of Low-Intensity Poisson-Voronoi Tessellation on the Diestel-Leader Graph School MATHEMATICS The Poisson point process is a random discrete set of points scattered in a metric space X (equipped with a volume measure). The corresponding Voronoi tessellation of X is the well-studied Poisson-Voronoi tessellation. Surprisingly, it has been observed only in the last few years that, if the intensity of the Poisson point process is changed and let converge to zero (and hence, the nuclei of the tessellation escape to infinity), the tessellation itself might not vanish in the limit. This phenomenon has been first observed for regular trees and for hyperbolic spaces. It has also found some important applications; e.g., on the Cheeger constant ... 15:30 - 17:00 Geometry and Topology Weekly Seminar Small Eigenvalues of Hyperbolic Surfaces School MATHEMATICS We study the spectrum of the Laplacian on finite-area hyperbolic surfaces of large volume, focusing on small eigenvalues i.e. those below 1/4. I will discuss some recent results and open problems in this area. Based on joint works with Michael Magee and with Joe Thomas. Join Zoom Meeting: https://www.zoom.us/join Meeting ID: 819 4967 6990 Passcode: 362880 Venue: Niavaran, Lecture Hall 1 ... |