中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 席东盟 教授 ( 上海大学 )
Inviter: 邱国寰
Language: Chinese
Title: The Mahler conjecture in dimension three
Time & Venue: 2026年5月20日（星期三）10：00-11：00 & 南楼N818
Abstract: We prove the Mahler conjecture in dimension three. More
precisely, we establish the sharp lower bound for the volume product |K| |K^*| \ge \frac{64}{9} for every convex body containing the origin in its interior. Equality is attained by simplices whose Santal\'o point is the origin. Our method also works for the symmetric Mahler conjecture, and yields a new proof of the three-dimensional symmetric case. The talk is based on joint work with Shibing Chen, Yuanyuan Li, and Zhekun Xu.
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