FMSP Lectures

Seminar information archive ~02/15Next seminarFuture seminars 02/16~


15:00-16:30   Room #117 (Graduate School of Math. Sci. Bldg.)
Etienne Ghys (ENS de Lyon)
The topology of singular points of real analytic curves (ENGLISH)
[ Abstract ]
In the neighborhood of a singular point, a germ of real analytic curve in the plane consists of a finite number of branches. Each of these branches intersects a small circle around the singular point in two points. Therefore, the local topology is described by a chord diagram : an even number of points on a circle paired two by two. Not all chord diagrams come from a singular point. The main purpose of this mini course is to give an complete description of those ‘’analytic ? chord diagrams. On our way, we shall meet some interesting concepts from computer science, graph theory and operads.
[ Reference URL ]