BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chris Bishop (Stony Brook University\, USA) DTSTART:20210914T130000Z DTEND:20210914T140000Z DTSTAMP:20260422T201551Z UID:CAvid/47 DESCRIPTION:Title: F ast conformal mapping via computational and hyperbolic geometry\nby Ch ris Bishop (Stony Brook University\, USA) as part of CAvid: Complex Analys is video seminar\n\nLecture held in N/A.\n\nAbstract\nThe conformal map fr om the unit disk to the interior of a polygon P is given by the Schwarz-Ch ristoffel formula\, but this is stated in terms of parameters that are har d to compute from P. After some background and motivation\, I explain how the medial axis of a domain\, a concept from computational geometry\, can be used to give a fast approximation to these parameters\, with bounds on the accuracy that are independent of P. The precise statement involves qua siconformal mappings\, and proving these bounds uses a result about hyperb olic convex sets originating in Thurston's work on 3-manifolds. If time p ermits\, I will mention some applications to optimal meshing and triangul ation of planar polygons.\n LOCATION:https://researchseminars.org/talk/CAvid/47/ END:VEVENT END:VCALENDAR