# 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

Lecture II:

Lecture III:

**Giovanni Peccati: Some applications of variational techniques in stochastic geometry**

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

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

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

Lecture II:

Lecture III:

Lecture II:

Lecture III:

**Monika Ludwig: Geometric probabilities and valuation theory**

**Tomasz Tkocz: Khinchin inequalities with sharp constants**

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