Winter School on "The Interplay between High-Dimensional Geometry and Probability"

Dates: January 11-15, 2021

Venue: Online

Organizers: Ronen Eldan (Rehovot), Assaf Naor (New York), Matthias Reitzner (Osnabrück), Christoph Thäle (Bochum), Elisabeth M. Werner (Cleveland)

Description: The goal of the winter school is to introduce ideas and techniques from geometry, probability and analysis, with emphasis on a high dimensional setting. The interplay between these areas addresses geometric and probabilistic properties of finite dimensional objects, studying their behavior when the dimension, or a number of other relevant free parameters, grows to infinity.

The lectures are mainly directed at PhD students and postdocs.

 

The following speakers will each give a series of lectures:

  • Radosław Adamczak (Warsaw)
  • Bo'az Klartag (Weizman Institute of Science)
  • Joe Neeman (Austin)
  • Giovanni Peccati  (Luxembourg)

Additional lectures by: Persi Diaconis (Stanford), Monika Ludwig (Vienna) and Tomasz Tkocz (Pittsburgh)

 

The school will be held online. Reminders and access data will be sent to registered participants. For those who cannot make it to the live talks, recordings of the talks will be made available online.

 

If you are interested in attending the Winter School, please click here for online registration.

 

Click here for the schedule.

Click here for the abstract.

Video recordings and slides

Joe Neeman: Gaussian isoperimetry and related topics

Lecture Notes

Lecture I:

Slides

Lecture II:

Slides

Lecture III:

Slides

Giovanni Peccati: Some applications of variational techniques in stochastic geometry

Lecture I: Some variance estimates on the Poisson space, Part I

Slides

Lecture II: Some variance estimates on the Poisson space, Part II

Slides

Lecture III: Second-order Poincaré inequalities and related convergence results

Slides, part I

Slides, part II

Radek Adamczak: Functional inequalities and concentration of measure

Lecture I:

Slides

Lecture II:

Slides

Lecture III:

Slides

Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture

Lecture Notes

Slides

Lecture I:

Lecture II:

Lecture III:

Monika Ludwig: Geometric probabilities and valuation theory

Slides

Tomasz Tkocz: Khinchin inequalities with sharp constants

Slides

Persi Diaconis: Haar-distributed random matrices - in memory of Elizabeth Meckes

Slides