【系综合学术报告】
报告题目：
Topological structure of singular metric spaces
时间：2025年12月29日（周一）上午10:30-11:30
地点：清华大学文北楼102
报告人：王季康 （
UC Berkeley
）
摘要：
We study the topological structure of Ricci limit spaces, which arise as Gromov–Hausdorff limits of manifolds with a uniform lower Ricci curvature bound. Our previous work focused on the local topology of Ricci limit spaces. In particular, we proved that any Ricci limit space is semi–locally simply connected. Our current work concerns the topological structure of sequences of collapsing manifolds. Under some mild assumptions, we show that these manifolds admit a fiber bundle structure and collapse along the fiber direction.Finally we shall discuss the fiber bundle structure for some compact Ricci almost non-negative manifolds.
报告人简介: Jikang Wang is currently a Morrey visiting assistant professor at UC Berkeley. He obtained his Ph.D at Rutgers University in 2022 under the supervision of Xiaochun Rong. His research focuses on metric geometry.
