Discrete topolgy and geometry and applications

This course is aimed at a broad audience, so everyone's welcome !

The course will cover some discrete theorems in topology (Sperner and Tucker) and geometry (Helly and Carathéodory) as well as several of their applications.

We will illustrate how these theorems offerelementary gateways to a diversity of results in game theory and fair division, in graph theory, in optimization and in geometric data analysis. We will start assuming only a general background in mathematics (continuity, vector spaces, etc.).

The course consists in six 2h lectures, one per week, it will start on Thursday, 24th of May to end of June. Lectures will take place on Thursdays from 10am to noon, in the Coriolis building on the Descartes site.

All details can be found on the course webpage: http://monge.univ-mlv.fr/~goaoc/tgda2018.html

Everyone's welcome!