|Location:||MSRI: Simons Auditorium, Online/Virtual|
AGRS Research Seminar Series: Modulus On Orthodiagonal Maps
To participate in this seminar, please register HERE.
I will briefly introduce modulus of connecting path families on graphs and then specialize it to orthodiagonal maps. These are a type of quadrangulations of plane domains that arise in numerical analysis in the context of Delaunay triangulations and Voronoi graphs, but also in the theory of circle packings, and have been studied previously in the literature, by Skopenkov, Werness, Gurel-Gurevich, Jerison and Nachmias. In particular, we show that when an orthodiagonal map tessellates a square, then the resulting discrete modulus is always equal to one, independently of the tessellation. This is part of on-going joint work with Nathan Albin and Joan Lind, as well as with Pekka Pankka since coming to MSRI.
Modulus On Orthodiagonal Maps