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DESCRIPTION: The second theorem of Minkowski on successive minima provides
optimal upper and lower bounds on the volume of a symmetric convex body in
terms of its successive minima. Motivated by conjectures of Mahler and Maka
i Jr.\, we study bounds on the volume of a convex body in terms of the succ
essive minima of its polar body. In this talk\, we will show the lower boun
d in the planar case\, and the upper bound in the general case. This talk i
s based on joint work with Martin Henk.
DTSTAMP:20190114T153000
DTSTART:20190128T160000
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Fei Xue (Technische Universität Berlin): On successive minima-type
inequalities for the polar of a convex body
UID:95689822@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20190128-C-Xue.html
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