科学研究
学术报告
Complex Polynomials Classifying Coplanar CMC Surfaces
发布时间:2018-01-05浏览次数:
题目:Complex Polynomials Classifying Coplanar CMC Surfaces

报告人:Prof.Rob Kusner (UMass Amherst)

地点:宁静楼110室

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?

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