Abstract:We prove two main theorems about equivariant minimal surfaces in an arbitrary nonpositively curved symmetric spaces extending classical results on minimal surfaces in Euclidean space. First, we show that a complete equivariant branched immersed minimal surface in a nonpositively curved symmetric space of finite total curvature must be of finite Morse index. It is a generalization of t...
AbstractIn the 1980s, Mori-Mukai completed the classification of smooth Fano threefolds in characteristic zero, based on work by Iskovskih and Shokurov. In this talk, I will explain an analogous result in positive characteristic.About the speakerHiromu Tanaka is an Associate Professor at the University of Tokyo. His research interest is Minimal model program in positive characteristic.Personal ...