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Topology/Geometry Seminar

Convergence of discrete uniformization factor to smooth uniformization function on closed surface of genus greater than 1

Xiaoping Zhu (Rutgers)

Location:  zoom link: https://rutgers.zoom.us/j/96007672653?pwd=UkhZV0l0WWNVenFqY1FYdjVydkVyQT09
Date & time: Tuesday, 23 February 2021 at 3:50PM - 4:50PM

We investigate the convergence of discrete conformal metrics to the classical uniformization metric.  In this talk, we will show that for  triangular meshes under certain conditions on a closed surface S of genus greater than 1,  there exists an unique discrete uniformization factor such that its difference to the smooth uniformization factor is controlled by the L infinity  NORM of the edge length of triangulation. This is a joint work with Tianqi Wu.