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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:<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:20260827T113122
DTSTART;TZID=America/New_York:20241203T160000
DTEND;TZID=America/New_York:20241203T170000
SEQUENCE:0
TRANSP:OPAQUE
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