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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.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/en/facetsofcomplexity/monday/20190128-C-Xue
 .html
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