题目:The Homothety Conjecture for Convex Bodies of Flotation on the Plane
报告人:Prof. Vladyslav Yaskin(University of Alberta)
地点:致远楼101室
时间:2026年6月4日 星期四 10:40-11:25
Abstract:The homothety conjecture says that if a convex body is homothetic to one of its convex bodies of flotation, then it is an ellipsoid. We confirm this conjecture in R^2 for symmetric convex bodies close to the disk. On the other hand, we show that in R^2 the conjecture fails if the symmetry assumption is dropped. Joint work with M. Alfonseca, F. Nazarov, D. Ryabogin, and A. Stancu.
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