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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The width of 5-dimensional prismatoids - Matschke\
 , B (Technische Universitt Berlin)
DTSTART;TZID=Europe/London:20130719T140000
DTEND;TZID=Europe/London:20130719T143000
UID:TALK46301AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/46301
DESCRIPTION:Santos' construction of counter-examples to the Hi
 rsch Conjecture (2012) is based on the existence o
 f prismatoids of dimension d of width greater than
  d. Santos\, Stephen and Thomas (2012) have shown 
 that this cannot occur in dimension less than 5. M
 otivated by this we here study the width of 5-dime
 nsional prismatoids\, obtaining the following resu
 lts:\n\n- There are 5-prismatoids of width six wit
 h only 25 vertices\, versus the 48 vertices in San
 tos' original construction. This leads to non-Hirs
 ch polytopes of dimension 20\, rather than the ori
 ginal dimension 43.\n\n- There are 5-prismatoids w
 ith n vertices and width Omega( qrt{n}) for arbitr
 arily large n. Hence\, the width of 5-prismatoids 
 is unbounded. \n\nThis is joint work with Francisc
 o Santos and Christophe Weibel.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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