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SUMMARY:Madeline Brandt (University of California\, Berkeley)
DTSTART:20200708T190000Z
DTEND:20200708T200000Z
DTSTAMP:20260423T040740Z
UID:etag2020/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/etag2020/8/"
 >Limits of Voronoi and Delaunay Cells</a>\nby Madeline Brandt (University 
 of California\, Berkeley) as part of Experimental Talks in Algebraic Geome
 try\n\n\nAbstract\nVoronoi diagrams of finite point sets partition space i
 nto regions. Each region contains all points which are\nnearest to one poi
 nt in the finite point set. Voronoi diagrams (and their generalizations an
 d variations)\nhave been an object of interest for hundreds of years by ma
 thematicians spanning many fields\, and they\nhave numerous applications a
 cross the sciences. Recently\, Cifuentes\, Ranestad\, Sturmfels\, and Wein
 stein\ndefined Voronoi cells of varieties\, in which the finite point set 
 is replaced by a real algebraic variety. Each\npoint y on the variety has 
 a cell of points in the ambient space corresponding to those points which 
 are\ncloser to y than any other point on the variety. In this talk\, we pr
 esent the limiting behavior of Voronoi\ndiagrams of finite sets\, where th
 e finite sets are sampled from the variety and the sample size increases. 
 In\nthis setting\, we observe that many interesting features of the variet
 y can be seen in a Voronoi Diagram\,\nincluding its medial axis\, curvatur
 es\, normals\, reach\, and singularities.\n
LOCATION:https://researchseminars.org/talk/etag2020/8/
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