Constant mean curvature surfaces: an integrable perspective

Title: Constant mean curvature surfaces: an integrable perspective.

 

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

 

Date: 16:00-17:00pm, December 26, 2013

 

Place: Conference Room A404, Department of Mathematical Sciences

 

Abstract: 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.

 

ContactHui Ma