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SUMMARY:Federico Castillo (Universidad Católica de Chile)
DTSTART:20220714T141500Z
DTEND:20220714T160000Z
DTSTAMP:20260422T065933Z
UID:CJCS/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/81/">Ta
 ngent hyperplanes to convex bodies</a>\nby Federico Castillo (Universidad 
 Católica de Chile) as part of Copenhagen-Jerusalem Combinatorics Seminar\
 n\n\nAbstract\nThe Greeks two thousand years ago already knew that two dis
 joint circles have four tangent lines. We will explore this question when 
 the circles are replaced by convex bodies in arbitrary dimensions. Bisztri
 czky (1990) proved that\, with the right generalization of disjointness\, 
 d convex bodies in dimension d have 2^d tangent hyperplanes. In this talk 
 we present a general description of the set of tangent hyperplanes to m co
 nvex bodies in dimension d (with m<d)\, generalizing a Theorem of Cappell\
 , Goodman\, Pach\, Pollack\, Sharir and Wenger. This is joint work with Jo
 seph Doolittle and Jose Samper.\n
LOCATION:https://researchseminars.org/talk/CJCS/81/
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