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 Seminar |
| 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 |