COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Seminar: Partial solution to the Busemann-Petty problem in R^n for a particular class of bodies

2013-10-29

4:10pm Neill 5W

Dr. Susanna Dann

The Busemann-Petty problem asks whether origin-symmetric convex bodies in R^n with smaller central hyperplane sections necessarily have smaller volume. The answer is affirmative for n <= 4 and negative for n >= 5.