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BEGIN:VEVENT
UID:253506922409e40cb185e8b62bbddc1d
CATEGORIES:Topology/Geometry Seminar
CREATED:20241022T211507
SUMMARY:Discrete spherical and hyperbolic Laplacians
LOCATION:zoom: https://rutgers.zoom.us/j/93226728546?pwd=oL40xQI2a7loq7c7pesZ3hA8GeG
 jvX.1
DESCRIPTION:The so-called cotangent Laplacian is a symmetric negative semidefinite matr
 ix associated with a Delaunay triangulation of a point set in the plane. It
  has many applications in discrete differential geometry and is an indispen
 sable tool in computer graphics.\nIn this talk I will describe a similar di
 scretization of the spherical and hyperbolic Laplacians. It associates a ne
 gative semidefinite self-adjoint operator to a point set in the unit sphere
  or, respectively, in the hyperbolic plane. These discrete Laplacians share
  many properties with their classical smooth counterparts, in particular th
 ey are related to (discrete) conformal vector fields.\nThis is a joint work
  with Wai Yeung Lam.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="margin: 15px 0px 0px; outline: none; position: relative; color: #
 3d3d3d; font-size: 13pt; font-weight: 400; font-family: 'Open Sans'; line-h
 eight: 1.6; letter-spacing: normal; orphans: 2; text-indent: 0px; text-tran
 sform: none; widows: 2; word-spacing: 0px; white-space: normal; text-align:
  justify;">The so-called cotangent Laplacian is a symmetric negative semide
 finite matrix associated with a Delaunay triangulation of a point set in th
 e plane. It has many applications in discrete differential geometry and is 
 an indispensable tool in computer graphics.</p><p style="margin: 15px 0px 0
 px; outline: none; position: relative; color: #3d3d3d; font-size: 13pt; fon
 t-weight: 400; font-family: 'Open Sans'; line-height: 1.6; letter-spacing: 
 normal; orphans: 2; text-indent: 0px; text-transform: none; widows: 2; word
 -spacing: 0px; white-space: normal; text-align: justify;">In this talk I wi
 ll describe a similar discretization of the spherical and hyperbolic Laplac
 ians. It associates a negative semidefinite self-adjoint operator to a poin
 t set in the unit sphere or, respectively, in the hyperbolic plane. These d
 iscrete Laplacians share many properties with their classical smooth counte
 rparts, in particular they are related to (discrete) conformal vector field
 s.</p><p style="margin: 15px 0px 0px; outline: none; position: relative; co
 lor: #3d3d3d; font-size: 13pt; font-weight: 400; font-family: 'Open Sans'; 
 line-height: 1.6; padding-bottom: 0px; letter-spacing: normal; orphans: 2; 
 text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; white
 -space: normal; text-align: justify;">This is a joint work with Wai Yeung L
 am.</p>
CONTACT:Ivan Izmestiev (University of Vienna)
DTSTAMP:20260829T124058
DTSTART;TZID=America/New_York:20241203T160000
DTEND;TZID=America/New_York:20241203T170000
SEQUENCE:0
TRANSP:OPAQUE
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