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FMSP Lectures
Seminar information archive ～10/10｜Next seminar｜Future seminars 10/11～
2018/02/22
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)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ghys.pdf
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 ]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.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ghys.pdf
