The seminar will take place in-person on Wednesdays 14:00 (CET) (new time!).  The topics covered include: locally symmetric spaces,  homogeneous dynamics, representation theory, geometric and measured group theory. 

Upcoming meetings

• Michael Bjorklund (Chalmers)

Nov 4th 14:00  Faculty of Mathematics and Computer Science, Conference Hall B (under the library)

Title: TBA

Abstract: TBA

• Kohki Sakamoto (IHES)

Dec 7th 14:00  Faculty of Mathematics and Computer Science, Conference Hall B (under the library)

Title: Singularity of harmonic measure on Poisson-Voronoi tessellations in hyperbolic spaces

Abstract: Poisson-Voronoi tessellations provide natural examples of invariant random tilings of homogeneous spaces. Benjamini, Paquette, and Pfeffer proved that the nearest-neighbor random walk on the Poisson-Voronoi tessellation of the hyperbolic plane has positive drift and hence converges to the boundary circle. They further conjectured that its hitting measure on the boundary is singular with respect to Lebesgue measure. I will explain how this follows from an ergodic-theoretic argument based on rerooting relations, and briefly discuss the higher-dimensional case as well.

Past meetings