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SUMMARY:Pablo Soberón (CUNY - USA)
DTSTART:20241213T160000Z
DTEND:20241213T170000Z
DTSTAMP:20260423T022922Z
UID:GEOTOP-A/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/92/
 ">Bisecting masses with hyperplane arrangements</a>\nby Pablo Soberón (CU
 NY - USA) as part of GEOTOP-A seminar\n\n\nAbstract\nA hyperplane arrangem
 ent in $\\mathbb{R}^ d$ divides space into two sets via a chessboard color
 ing. Given a set of measures\, we can attempt to split each into two equal
  parts using the chessboard coloring of a hyperplane arrangement. Special 
 cases of this problem include the classic ham sandwich theorem by Banach o
 r the necklace splitting theorem by Hobby and Rice. We present a new commo
 n generalization of many mass partition results of this kind. Surprisingly
 \, the proof methods are not topological\, breaking a long tradition in th
 e area. During this talk\, we will describe the results that can be genera
 lized this way and the reach of this new non-topological approach.\nJoint 
 work with Alfredo Hubard.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/92/
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