时间：2025年12月8日（周一）16:00-17:00
地点：E4-233
主讲人：Deping Ye, Memorial University of Newfoundland
主讲人简介：Deping Ye is a tenured professor at Memorial University of Newfoundland. He received his bachelor's degree from Shandong University in 2000, pursued graduate studies at Zhejiang University from 2000 to 2003, and obtained his Ph.D. from Case Western Reserve University in the United States in 2009.
He currently serves as an Associate Editor for the Canadian Mathematical Society's flagship journals—the Canadian Journal of Mathematics and the Canadian Mathematical Bulletin—as well as the newly established Canadian Mathematical Communications. He is the principal investigator of an NSERC Discovery Grant and was awarded the JMAA Ames Prize in 2017.
His research interests lie in convex geometric analysis, geometric and functional inequalities, random matrix theory, quantum information theory, and statistics. He has published nearly 50 papers in leading international journals, including Communications on Pure and Applied Mathematics, Advances in Mathematics, Journal of Functional Analysis, Mathematische Annalen, and Calculus of Variations and Partial Differential Equations.
讲座主题：Mou He Fang Gai: A Mathematical Legend Over Two Thousand Years
讲座摘要：Mou He Fang Gai (also known as Bicylinder) has a remarkably long and rich history. The study of Mou He Fang Gai can be traced back to Archimedes more than 2,000 years ago. In ancient China, it has been studied by Liu Hui, Zu Chongzhi, and Zu Geng, during the Wei, Jin, and Southern and Northern Dynasties. The most well-known and pioneering achievement is that Zu Chongzhi and his son employed Mou He Fang Gai to accurately compute the volume of a 3-dimensional ball, leaving a significant mark on the history of Chinese mathematics.
In this talk, I will present the fundamental properties of Mou He Fang Gai, including its construction and its application to calculating the volume of a 3-dimensional ball. Motivated by Mou He Fang Gai, I will talk about a new theory of convex bodies, based on cylindrical hull. In particular, I will focus on properties of cylindrical hull, including the definitions of the cylindrical support function, supporting cylinders, sine-polar bodies, etc. I will also explain how these basic notions can be used to establish a Blaschke–Santaló-type inequality related to sine-polar bodies.
