De Sam Mellick
We will start by defining and motivating the Poisson point process, which is, informally, a "maximally random" scattering of points in space, and discussing the ideal Poisson–Voronoi tessellation (IPVT), a new random object with intriguing geometric properties when considered on a semisimple symmetric space (the hyperbolic plane, for example). In joint work with Mikolaj Fraczyk, we use the IPVT to prove a result on the relationship between the volume of a manifold and the number of generators of its fundamental group (for higher rank semisimple Lie groups, the minimum number of generators in a lattice is sublinear in the covolume). In this minicourse we will unpack the proof. No prior knowledge on Poisson--Voronoi tessellations, fixed price or higher rank will be assumed.
De Barbara Schapira
De Maria Beatrice Pozzetti
De Barbara Schapira
De Maria Beatrice Pozzetti
De Maria Beatrice Pozzetti
De Barbara Schapira
De Maria Beatrice Pozzetti
De Daniel Monclair
De Sam Mellick
De Sam Mellick
De Antoine Song
De Daniel Monclair
De Antoine Song
De Daniel Monclair
De Sam Mellick
De Antoine Song
De Daniel Monclair
De Sam Mellick
De Sam Mellick
De Daniel Monclair
De Antoine Song
De Joël Ouaknine
De Joël Ouaknine
De Joël Ouaknine
