This Winter School will consist in two courses of 10 hours each, given by professors B. Klartag and R. Latała:

These courses will be devoted to the study, in high dimensions (typically in $\mathbb R^n$ with $n$ tending to infinity), of probability distributions having “convexity” properties. Spectacular progresses have been made these last years, which revealed deep connections between “high dimension” and convexity (which somehow replaces independence) and which led to new universality principles. In particular, central limit theorems have been established, in relation with a deeper understanding of the concentration of measure for high-dimensional log-concave distributions or convex bodies. The courses will not only focus on recent results; they will also present the tools and ideas from analysis, geometry and probability that have proved to be fruitful in the last two decades, and that might be inspiring for other branches of mathematics as well.

For the description of each course, please click on the links above.

The courses are part of the Graduate program of the I.H.P. and of the École Doctorale des Sciences Mathématiques de Paris-Centre and are addressed to non-specialists. The winter school is part of the the A.N.R. project GeMeCoD.
Bo'az Klartag courses are part of his Junior Chair awarded by the Fondation des Sciences Mathématiques de Paris (FSMP).
Participation of postdocs and PhD students is strongly encouraged.

There is a welcome coffee on Monday, January 7, at 9h30, before the first lecture.

Lectures are held in the main amphitheater (Hermite) of the I.H.P., from Monday January 7, to Friday, January 11. The timetable is:

• 10h-10h20: Klartag
• 11h-11h20: Coffee break
• 11h20-12h20: Klartag
• 14h10-15h10: Latala
• 15h10-15h30: Coffee break
• 15h30-16h30: Latala

Registration is free, but for organizational reasons, it is important that you register using the form below.

Be sure to book your hotel very early (at least a month in advance), since accommodations in Paris are difficult to find. Click here for a list of hotels.

The Institut Henri Poincaré (I.H.P.) is easily accessible by RER or Bus. Click here to see a map.

Dario Cordero-Erausquin (UPMC), Matthieu Fradelizi (UPEMLV), Olivier Guédon (UPEMLV)

Contact: winterschool2013ihp@gmail.com

Institut Henri Poincaré (Centre Emile Borel), Fondation des Sciences Mathématiques de Paris, A.N.R. projet GeMeCoD, Laboratoire d'Analyse et de Mathématiques Appliquées de l'Université de Paris-Est-Marne-la-Vallée (UPEMLV), Institut de Mathématiques de Jussieu et Université Pierre et Marie Curie (Paris 6), Institut Universitaire de France, GdR AFHP.