The μ-bubble Construction of Capillary Surfaces
                    
                  
                  
                  
                    报告人:吴玉洁(斯坦福大学)
 
                    时间:2024-10-16 09:00-10:00
  
                    地点:online
                   
                  
                    【摘要】
We introduce a method of constructing (generalized) capillary surfaces via Gromov's " μ -bubble" method. Using this, we study low-dimensional manifolds with nonnegative scalar curvature and strictly mean convex boundary. We prove a fill-in question of Gromov, a band-width estimate, and a compactness conjecture of M. Li in the case of surfaces. 
【报告人简介】
Yujie Wu is currently a Ph.D. Student at Stanford University. Her research focused on geometric analysis and PDEs, in particular minimal surface theory and the Allen Cahn equation.
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