Mathematical Sciences Research Institute

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Summer Graduate School

Concentration Inequalities and Localization Techniques in High Dimensional Probability and Geometry (SLMath) July 03, 2023 - July 14, 2023
Parent Program: --
Location: MSRI: Simons Auditorium, Atrium
Organizers Max Fathi (Université Paris Cité), Dan Mikulincer (Massachusetts Institute of Technology)
Teaching Assistants(s)

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The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.

The topics of the graduate school are suited for any student with an undergraduate degree in mathematics. It will require no expertise in any particular field and will be completely self contained. The required background (as described below) is usually obtained in any program of undergraduate studies. Each lecture series will begin with a ”preliminaries” lecture that would make sure that all the students are up to speed in terms of mathematical background.


The students are required to have the following prerequisites.

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC