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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20200804T223952Z
UID:5c8a5b8a660a7333803221@ist.ac.at
DTSTART:20190515T130000
DTEND:20190515T141500
DESCRIPTION:Speaker: Patrick Schnider\nhosted by Uli Wagner\nAbstract: The
Ham-Sandwich theorem is a well-known result in geometry. It states that an
y $d$ mass distributions in $\\mathbb{R}^d$ can be simultaneously bisected
by a hyperplane. The result is tight\, that is\, there are examples of $d
+1$ mass distributions that cannot be simultaneously bisected by a single
hyperplane. In this talk we will study the following question: given a con
tinuous assignment of mass distributions to certain subsets of $\\mathbb{R
}^d$\, is there a subset on which we can bisect more masses than what is g
uaranteed by the Ham-Sandwich theorem?We will study two different types of
subsets\, motivated by conjectures by Luis Barba (which we will answer) a
nd Stefan Langerman (which we solve only in a relaxed setting)\, respectiv
ely. Some of the results we also extend to center transversals\, a general
ization of Ham-Sandwich cuts.
LOCATION:Mondi Seminar Room 3\, Central Building\, IST Austria
ORGANIZER:hwagner@ist.ac.at
SUMMARY:GeomTop Seminar: Ham-Sandwich cuts and center transversals in subsp
aces
URL:https://talks-calendar.app.ist.ac.at/events/1983
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