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