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Wlodek Kuperberg (Auburn University, USA): Variations on the Hadwiger theme

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Thursday, 23. May 2013, 13:00
The Hadwiger number of a convex body K is the maximum number of mutually non-overlapping translates of K that can touch K. We consider several variations of this notion, by replacing translates of K with its mu-homothetic images for either mu>0, mu < 0, or combinations of mu and -mu. In yet another variation, the non-overlapping homothets of K touch the boundary of K from inside. Many open problems and a few examples will be discussed.
Location : Farkas terem (M2-108)

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