COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Seminar: The Busemann-Petty problem in the complex hyperbolic space

2013-10-30

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. In the third talk, we study this problem in the complex hyperbolic n-space and prove that the answer is affirmative for n <= 2 and negative for n >= 3.