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 PLACE: Amado 919, 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). --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Micha Sageev <sageevm@math.technion.ac.il>