Geometric Analysis Seminar —— Enumerative Problems for Minimal Surfaces with Prescribed Genus
报告人:朱振邦(Cornell University)
时间:2026-04-08 09:00-10:00
地点:online
【摘要】
We will present the enumerative min-max theory, which relates the number of genus g minimal surfaces in 3-manifolds to topological properties of the set of all embedded surfaces of genus ≤g. As a consequence, we can show that in every 3-sphere of positive Ricci curvature, there exist ≥5 minimal tori (confirming a conjecture by B. White (1989) in the Ricci-positive case), ≥4 minimal surfaces of genus 2, and ≥1 minimal surface of genus g for all g. This is based on a joint work with Yangyang Li and Zhihan Wang.
【报告人简介】
Adrian Chun-Pong Chu obtained his bachelor's degree at the Chinese University of Hong Kong and his Ph.D. at the University of Chicago under André Neves. He is currently a postdoc (H. C. Wang assistant professor) at Cornell University. His research has focused on minimal surfaces, min-max theory, and geometric flow. From a broader perspective, these topics arise from studying the space of all hypersurfaces in a given Riemannian manifold, and the area functional defined on this space.
Zoom: 851 3392 2600 Password: 574264
