EVENT DETAILS AND ABSTRACT

Title: Curvature Pinching and Gromov Volume of conic 2-spheres
Speaker: Hao Fang
Speaker Info: University of Iowa
Brief Description:
Special Note:
Abstract:

In this talk we discuss some results on the geometry of conic 2-spheres. Super-critical conic 2-spheres, in the sense of Troynov, are examples of unstable Kahler manifolds, which do not have a constant curvature metric. Thus, it is interesting to understand their curvature properties. We will discuss the best curvature pinching properties and the best volume bound with a uniform curvature bound. We will also explore similar problems for higher dimensional examples. This is joint work with Mijia Lai.