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BEGIN:VEVENT
UID:733b8a41aa1b83b10f8b41fb3946dc3a
CATEGORIES:Topology/Geometry Seminar
CREATED:20211129T110706
SUMMARY:Uniformization with a new discrete Gaussian curvature
LOCATION:Zoom
DESCRIPTION:Title: Abstract: The angle defect -- 2 Pi minus the cone angle at a vertex 
 -- is the commonly used discretization of the Gaussian curvature for piecew
 ise flat surfaces. However, it does not possess one of the principal featur
 es of its smooth counterpart -- upon scaling the surface by a factor r, the
  smooth Gaussian curvature is scaled by the factor of 1/r^2 , whereas the a
 ngle defect is invariant under global scaling.\nIn my talk I will introduce
  a new discretization of the Gaussian curvature, that preserves the propert
 ies of the angle defect and in addition reflects the scaling behavior of th
 e smooth Gaussian curvature. I will also answer the accompanying Uniformiza
 tion question: Does every discrete conformal class of a piecewise flat surf
 ace contain a metric with constant discrete Gaussian curvature? And if so, 
 is this metric unique?\nThe results I will present in this talk constitute 
 a part of my PhD research, which was supervised by prof. Boris Springborn.\
 n
X-ALT-DESC;FMTTYPE=text/html:<p>Title: Abstract: The angle defect -- 2 Pi minus the cone angle at a vert
 ex -- is the commonly used discretization of the Gaussian curvature for pie
 cewise flat surfaces. However, it does not possess one of the principal fea
 tures of its smooth counterpart -- upon scaling the surface by a factor r, 
 the smooth Gaussian curvature is scaled by the factor of 1/r^2 , whereas th
 e angle defect is invariant under global scaling.</p><p>In my talk I will i
 ntroduce a new discretization of the Gaussian curvature, that preserves the
  properties of the angle defect and in addition reflects the scaling behavi
 or of the smooth Gaussian curvature. I will also answer the accompanying Un
 iformization question: Does every discrete conformal class of a piecewise f
 lat surface contain a metric with constant discrete Gaussian curvature? And
  if so, is this metric unique?</p><p>The results I will present in this tal
 k constitute a part of my PhD research, which was supervised by prof. Boris
  Springborn.</p>
CONTACT:Hana Kourimska (IST, Austria)
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/95403079386?pwd=enhVU1ErUFRQRXIwZU1WUW
 dESWtTUT09
DTSTAMP:20260922T221601
DTSTART;TZID=America/New_York:20211207T110000
DTEND;TZID=America/New_York:20211129T120000
SEQUENCE:0
TRANSP:OPAQUE
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