题目:Complex Polynomials Classifying Coplanar CMC Surfaces
报告人:Prof.Rob Kusner (UMass Amherst)
时间:2018年1月5日(周五)下午14:00-15:30
摘要:Complete embedded constant mean curvature (CMC) surfaces of fixed, finite topology comprise a finite-dimensional moduli space. In case of coplanar CMC surfaces of genus 0 with k ends, this moduli space can be identified with the space of holomorphic immersions from the plane to the 2-sphere whose Schwarzian derivative is a polynomial with degree depending on k. Can you guess which families of coplanar CMC surfaces correspond to the polynomials 0, or 1, or z?