数学科学系

Department of Mathematical Sciences

Constant mean curvature surfaces: an integrable perspective

报告题目: Constant mean curvature surfaces: an integrable perspective.

 

报告人: Franz Pedit (University of Tuebingen, Germany; University of Massachusetts, Amherst, USA)

 

时间: 20131226(星期四)16:00-17:00

 

地点: 理科楼数学系A404

 

摘要: Starting from Hopf's observation that compact genus zero CMC surfaces in 3-space have to be round spheres, we will discuss the contributions integrable system methods have made in understanding compact (and non-compact) CMC surfaces. The basic ingredients will be the self-duality equations over a Riemann surface, its circle worth of deformations, spectral curves, loop algebra valued meromorphic connections, the Riemann-Hilbert problem, and abelianization of flat connections. We will focus on the conceptual ideas and augment them with computer visualization and experiments.

 

联系人:马辉