报告人：Vlad Yaskin（阿尔伯塔大学）

邀请人：张宁

报告时间：2021年3月30日（星期二）10:00-12:00

报告地点：Zoom: 955 0489 5316

报告题目：Unique determination of ellipsoids by their dual volumes

报告摘要：Gusakova and Zaporozhets conjectured that ellipsoids in R^n are uniquely determined (up to an isometry) by their intrinsic volumes. Petrov and Tarasov confirmed this conjecture in R^3. In this talk we will present a solution to the dual problem in all dimensions. We will show that any ellipsoid in R^n centered at the origin is uniquely determined (up to an isometry) by an n-tuple of its dual volumes. To prove this result, we reduce it to a problem of moments. As an application, we give an alternative proof of the result of Petrov and Tarasov. This is a joint work with S. Myroshnychenko and K. Tatarko.

报告人简介：Vlad Yaskin教授是加拿大著名数学家，在凸几何分析, 几何泛函分析，凸几何中调和分析的应用等研究领域中都非常活跃，已在Adv. Math.、Trans of AMS、Math. Ann.等世界著名杂志上发表论文三十余篇。