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DESCRIPTION: We consider norms in real vector spaces where the unit ball is
  an arbitrary convex polytope\, possibly centrally symmetric.  In contrast 
 with the Euclidean norm\, the topological shape of bisectors may be complic
 ated.  Our first main result is a formula for the Betti numbers of bisector
 s of three points in sufficiently general position.    Specializing our res
 ults to the tropical polyhedral norm then yields structural results and alg
 orithms for tropical Voronoi diagrams.  The tropical distance function play
 s a key role in current applications of tropical geometry.    Joint work wi
 th Francisco Criado and Francisco Santos. 
DTSTAMP:20210601T172100
DTSTART:20210607T141500
CLASS:PUBLIC
LOCATION:online
SEQUENCE:0
SUMMARY:Michael Joswig (Technische Universität Berlin): Tropical bisectors 
 and Voronoi diagrams
UID:107777066@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20210607-L-Joswig.html
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