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Professor János Pach, Bézout chair

October 2019: We are delighted to announce that János Pach has been awarded the Bézout chair! He will visit the Bézout Labex, hosted by Frédéric Meunier (CERMICS) and Nabil Mustafa (LIGM), between October 15, 2019 and November 15, 2019, and also for two months in 2020.

His Bézout lecture will take place on November 12 at 2pm in the seminar room of CERMICS (Cité Descartes, Coriolis building, left aisle, 2nd floor). See below for a title and abstract.

Professor Pach is currently affiliated with the Renyi Institute Budapest and MIPT Moscow. He has received many distinctions in his research carrier, including membership at the Hungarian Academy of Sciences. He is a mathematician and computer scientist working in the fields of combinatorics and discrete and computational geometry.

Title: How to escape the curse of dimensionality in combinatorics
Abstract: According to Gelfand, “at the bottom of most deep mathematical questions there is a combinatorial problem.” Combinatorics, once viewed as “the slums of topology,” has come a long way during the past century. It has its own powerful techniques and close ties to algebra, topology, information theory, and several other disciplines. Nevertheless, many basic combinatorial problems, including ones needed for applications, are wide open, partially due to a phenomenon called “combinatorial explosion” or the “curse of dimension.” In this talk, we will illustrate how to solve some notoriously difficult open problems by restricting our attention to certain combinatorial structures arising in geometric, algebraic, and practical applications. The talk will be entirely self-contained, and no previous knowledge of the subject will be assumed.

Meeting of the Scientific Board

January 10, 2020 — The scientific board of the Bézout Labex will be gathered for a one-day meeting, with an extensive presentation of the Labex and scientific talks.  This event will take place in bâtiment Copernic, Cité Descartes, from 9:30am to 6pm (at the latest).

Members

The members of the scientific board are:

More details will be made available later on this page.

Tentative program

09:30 welcome; coffee internal to the scientific board members
10:00 presentation of the Labex, past and present
10:40 research area 1
11:00 research area 2
11:20 break
11:40 research area 3
12:00 research area 4
12:20 research area 5
12:40 lunch (registration will be mandatory)
14:00 two scientific talks
15:00 the future of the Labex
15:30 break internal to the scientific board members
15:50 discussion with the direction of the Labex and the three laboratories
16:30 internal discussion of the scientific board
17:15 the end

ANR Project MinMax accepted

ANR (the French National Research Agency) will support the ANR project “MinMax” on min-max constructions, waist estimates, and related aspects in geometry and topology, minimal surface theory and geometric analysis, and computational geometry and algorithms. The project is led by Stéphane Sabourau (LAMA) and will involve members from LAMA, LIGM, as well as participants from Montpellier, Nancy, Grenoble, and Tours. It fits within the Images and Geometry research area of the Labex, and many aspects of the project have been discussed in the Labex working group Min-max theory and computational geometry.

Course “Discrete topology and geometry and applications”

May-June 2018: A course “Discrete topology and geometry and applications” is starting. It 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 offer elementary 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, 2018 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!