Time: 16:15-17:45

Location: Heinzel Seminar room

Speaker: Chris Fillmore (Edelsbrunner/Wagner group)

Abstract: Given a closed surface, $\M \subseteq \R^3$, and a locally finite set, $A \subseteq \R^3$, the \emph{(closed) Delaunay surface} of $\M$ and $A$ consists of all polygons in the Delaunay mosaic of $A$ whose dual Voronoi edges cross $\M$.  Assuming $A$ is a stationary Poisson point process, it is known that the expected area of the Delaunay surface is $\frac{3}{2}$ times the area of $\M$.  We prove that in the limit, with the intensity going to infinity, $\frac{3}{2}$ is also the expected distortion for the integrated mean curvature of the Delaunay surface.

Speaker: Jana Reker (Erdös group)
Title: A (very short) expedition into free probability

Abstract: Free probability is easiest described as a non-commutative analog to classical probability theory. In this talk, I will introduce its key definitions and discuss some of the analogies between classical and free probability theory by comparing the central limit theorem for classical i.i.d. random variables to Voiculescu's free central limit theorem.