报告人简介：

王一，约翰霍普金斯大学数学系教授，博士生导师。2011年于普林斯顿大学获得博士学位，导师为张圣容教授。随后在MSRI、斯坦福大学从事博士后研究。2015年至今历任约翰霍普金斯大学助理教授、副教授、教授。期间两次成为IAS访问成员。王一教授主要从事几何分析，完全非线性方程和调和分析研究。相关结果发表在JEMS, J. Reine Angew. Math., Adv. Math., JFA, CVPDE, JDE等国际一流杂志上。

报告简介：

Optimal transport describes the process of finding the most efficient way to move mass between two distributions. Wasserstein distance measures the minimal transportation cost achieved by that optimal plan. However, in higher dimensions, computing the Wasserstein distance becomes computationally expensive. The sliced Wasserstein distance offers an effective and efficient way to alleviate this burden. In this talk, I will talk about the quantitative estimates between the sliced 1-Wasserstein distance and the 1-Wasserstein distance. I will then discuss our construction of a concrete example that demonstrates the exponents in the estimate are sharp. This is joint work with Guillaume Carlier, Alessio Figalli, Quentin Merigot.