Time：14:00-15:00, Wednesday, May 20 2026
Venue：E14-301
Speaker：Yuanyuan Li, ITS
Title：The Non-Symmetric Mahler Conjecture in Dimension Three
Abstract：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).
