Speaker:

Étienne Ghys
(École Normale Supérieure de Lyon)

Title:

The topology of
singular points of real analytic curves

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.

Program:


14:0015:30 

16:0017:30 
Wednesday
April 25

1st Lecture 
Coffee Break

Colloquium 
Thursday
April 26

2nd
Lecture 
Coffee
Break 
3rd
Lecture 

Location: 
Lecture Hall 1, IPM
Niavaran Building,
Niavaran Square, Tehran 
Registration:

The attendance is free, but
requires registration.
Please fill out the registration form
and
send its text to gt@ipm.ir with
the subject "MCM9".
