Technion Geometry and Topology Seminar

NOTE SPECIAL TIME. This talk will follow Jesse Johnson's talk this
Thursday.

TIME: Thursday, December 30, 2010, 16:30-17:30

SPEAKER: Marina Ville (Tours)

TITLE: Branch points of minimal surfaces in R^4 via knots and
braids

ABSTRACT: We look at an isolated singular point $p$ of a minimal surface
in $\mathbb{R}^4$. Similarly to the complex algebraic case, the topology
of the singularity is described by a knot - or more precisely a closed
braid - on a small sphere centered at $p$.
This yields a class of knots, called {\it minimal knots} - which
generalize algebraic knots. I will describe the construction, give
examples of these knots and discuss how large this class is (still an open
problem).

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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il>
Announcement from: Micha Sageev   <sageevm@math.technion.ac.il>