Conformal Structure of Minimal Surfaces with Finite Topology

Friday, December 4, 2009 -
3:00pm to 5:00pm
The recent construction of a genus-one helicoid verified the existence of a second example of a complete, embedded minimal surface with finite topology and infinite total curvature in $\mathbb{R}3$. We determine the conformal structure and asymptotic Weierstrass data of all surfaces with these properties. Using this structure and the asymptotics, in the case $g=1$ we establish the existence of an orientation preserving isometry. This is joint work with Jacob Bernstein
Christine Breiner
Event Location: 
Fine Hall 314