SMS scnews item created by Zhou Zhang at Mon 4 Feb 2013 0013
Type: Seminar
Distribution: World
Expiry: 25 Feb 2013
Calendar1: 7 Feb 2013 1200-1300
CalLoc1: Carslaw 707A
Auth: zhangou@ (zhouz) in SMS-WASM

GTA-Seminar: Schmidt -- On Spectral Curves of CMC Annuli of Finite Type in S^3

Speaker: Dr. Martin Schmidt (Mannheim)

Time: Thursday, February 7, 12NOON--1PM

Room: Carslaw 707A

Lunch: after the talk. The reservation at Law Annex Cafe is 1:15PM. 


Title: On Spectral Curves of CMC Annuli of Finite Type in S^3

Abstract: We call a cmc immersions of the parabolic annulus into 
S^3 to be of finite type, if it has bounded curvature and constant 
Hopf differential with respect to the coordinate z in C/Z. Such an 
annulus is called Alexandrov embedded, if the immersion extends to 
a complete three manifold, whose boundary is the annulus. It is 
called mean convex, if the mean curvature with respect to the inner 
normal is non-negative. All these annuli are determined by solutions 
of the sinh Gordon equation of finite type. The corresponding set of 
spectral curves is shown to be connected. It turns to be a two-dimensional 
set of spectral curves of genus at most one. The corresponding annuli 
are all surfaces of revolution.


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