报告人： 孙强 博士后

报告题目： Subspace Concentration of Mixed Volume Measures and the Logarithmic Christoffel Problem

时间： 2026年10月27日（周二）19:30—20:30

地点： 线上腾讯会议（会议号：875-313-497）

报告摘要：

The mixed volume measure (V_{K_1,\ldots,K_n}) of compact convex sets (K_1,\ldots,K_n) in (\mathbb{R}^n) is the localization of the classical Minkowski mixed volume (V(K_1,\ldots,K_n)) and is the generalization of the important cone-volume measure (V_K).

In this talk, we first introduce the subspace concentration for mixed volume measures when (K_1,\ldots,K_{n-1}) are zonotopes and (K_n) is a convex body, or when (K_1,\ldots,K_n) are zonoids, with all bodies containing the origin in their interiors. As an application, we reveal a subspace concentration phenomenon for cone-area measures of zonoids.

We then turn to logarithmic Christoffel-Minkowski problem, i.e., the characterization problem of cone-area measures. We prove the existence and uniqueness of solutions for the logarithmic Christoffel problem in the polytopal setting. For smooth case, the solutions need not be unique: distinct origin-symmetric smooth strictly convex bodies can yield the same second cone-area measure.

This talk is based on the joint work with CHEN Zhang, LU Xinbao, SU Mengwei, and XIONG Ge.

报告人简介：

孙强，复旦大学博士后，同济大学基础数学博士。主要研究方向为凸体几何（Convex Geometry）和几何分析（Geometric Analysis），在仿射等周问题、Minkowski 型问题以及几何测度的集中问题等方面取得了系列原创性研究成果。

已在 Advances in Mathematics、Journal of the London Mathematical Society、Bulletin of the London Mathematical Society、Advances in Applied Mathematics 等国际数学期刊发表多篇论文。

2025年入选“博士后创新人才支持计划”和上海市“超级博士后”激励计划，2024年入选“中国科协青年人才托举工程博士生专项计划”。