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DESCRIPTION: The next talk in the DGD seminar at TU Berlin is on Tuesd
ay\, 28.10.2014 at 14:15 in MA 874 on "Matching centroids by a projec
tive transformation" Speaker: Ivan Izmestiev Abstract: Let K a
nd L be two subsets of R^d. Does there exist a projective transformation
f such that the centroids of f(K) and f(L) coincide? We allow each of K a
nd L to be a point\, a finite set of points\, or a d-dimensional body\, a
nd find in each case a functional whose critical points correspond to sol
utions. Under certain assumptions the transformation f is unique modulo p
ost-composition with affine transformations. Connections arise with the
algebraic polarity\, Moebius centering of polytopes\, Santalo points\, a
nd Hilbert geometry. The talk is based on the arxiv preprint 1409.6176.
DTSTAMP:20141022T130800
DTSTART:20141028T141500
CLASS:PUBLIC
LOCATION:TU Berlin\, MA 874
SEQUENCE:0
SUMMARY:DGD seminar
UID:44517652@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/math/groups/discgeom/Regionale-Termine/DGD-
seminar.html
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