Parallel sections and related problems in convex geometry

Wednesday, May 30, 2012 - 4:30pm - 5:00pm
Keller 3-180
Maria Alfonseca-Cubero (North Dakota State University)
There are many open problems related to the reconstruction of an origin-symmetric convex body K in Rn from its lower dimensional information (areas of sections or projections, perimeters of sections or projections, length of cords, etc.)

In this talk we will survey known results on the determination of a convex body from its central sections, parallel sections, or maximal sections. Some of these problems have been long-time open, and a few very recent results will be presented.
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