时间：2026年5月20日（星期三）14:00-15:00
地点：西湖大学云谷校区E14-301
主讲人：理论科学研究院 李媛媛
报告题目：The Non-Symmetric Mahler Conjecture in Dimension Three
报告摘要：We prove the non-symmetric Mahler conjecture in dimension three. More precisely, If $K\subset \R^n$ is a convex body and $z\in \operatorname{int}K$, we write $K^z$ for the polar body taken with center $z$. The Santal\'o point $s(K)$ is characterized by minimizing $z\mapsto |K^z|$, and the non-symmetric volume product is $ \VP(K)=|K|\,|K^{s(K)}|.$ We prove the sharp lower bound \[ \VP(K) \geq \frac{64}{9} \] for every convex body $K \subset \R^3$. This is joint work with Shibing Chen (USTC)，Dongmeng Xi(SHU) and Zhe-Feng Xu(SISSA&USTC).
