PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:Non-uniqueness of convex bodies with prescribed volumes of sections and projections.
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Fedor Nazarov, Kent State University
Abstract:
We will construct two convex bodies of revolution in $R^{2n}$ that cannot be obtained from one another by translation or reflection so that they have the same volumes of central sections, maximal sections, and projections. The existence of convex bodies with such properties in odd dimensions remains an open problem dating back to 1929. This is a joint work with D. Ryabogin and Artem Zvavitch.

Room Reservation Information

Room Number:MB106
Date:04 / 23 / 2012
Time:03:35pm - 05:30pm