Date & Time: Wednesday, July 23, 2014, 16:30-17:30.
Venue: Ramanujan Hall
Speaker: Vamsi Pingali, Johns Hopkins University
Title: Computing Teichmüller maps between polygons
Abstract: By the Riemann mapping theorem, one can bijectively map the interior of an n-gon P to that of another n-gon conformally. However, (the boundary extension of) this mapping need not necessarily map the vertices of P to those Q. In this case, one wants to find the "best" mapping between these polygons, i.e., one that minimizes the maximum angle distortion (the dilatation) over all points in P. I shall discuss this problem in the continuous and the discrete settings. This topic lies on the interface of complex analysis and theoretical computer science.