4:00 pm Thursday, November 14, 2013
Colloquium: Constant mean curvature surfaces: an integrable perspective
by
Franz Pedit [mail] (UMass-Amherst) in HB 227
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. Host Department: Rice University-Mathematics
Submitted by orcan@rice.edu |
