报告题目：Comparison theorems in centro-affine differential geometry

报告人：Yasuaki Fujitani，东京大学

报告时间：2026年9月17日（周四）15:00-17:00

报告地点：20-306

报告摘要：Milman (J. Eur. Math. Soc., 2025) studied problems in convex geometry via centro-affine differential geometry. In this approach, several affine connections different from the Levi-Civita connection were introduced. In the context of comparison theorems for weighted manifolds, Wylie-Yeroshkin considered an affine connection whose Ricci curvature coincides with the 1-weighted Ricci curvature. In this talk, we observe that one of the affine connections introduced by Milman coincides with a Wylie-Yeroshkin type connection, and discuss rigidity phenomena in related comparison theorems. This talk is based on arXiv:2606.16654.

报告人简介：Yasuaki Fujitani（藤谷恭明）2025年博士毕业于大阪大学，导师为Shin-ichi Ohta教授，同年入职东京大学担任博士后研究员，现在厦门大学短期访问夏超老师。Fujitani主要从事全局微分几何的研究，成果发表在JMAA、Nonlinear Analysis、Manuscripta Math.等国际知名期刊。

邀请人：陈乐天