Title - Stability Theorems for the Width Abstract - In this talk, I'll discuss some recent and ongoing work about the stability of min-max widths of spheres under various lower curvature bounds. Some of this is joint with Davi Maximo and Paul Sweeney Jr.
Title - Variations of the Yang-Mills Lagrangian in high dimensionAbstract - In this talk we will present some analysis aspects of gauge theory in high dimension. First, we will study the completion of the space of arbitrary smooth bundles and connections under L^2-control of their curvature. We will start from the classical theory in critical […]
Title: Rigidity of ancient ovals in mean curvature flow. Abstract: We will discuss the classification of ancient noncollapsed flows as singularity models of mean curvature flow. In particular, I will discuss my recent joint work with Beomjun Choi and Jingze Zhu about spectral rigidity, stability and symmetry of the so-called k-ovals in general dimensions. These […]