Online Asymptotic Geometric Analysis Seminar


Welcome to the Online AGA seminar webpage!

If you are interested in giving a talk, please let us know. Also, please suggest speakers which you would like to hear speak. Most talks are 50 minutes. The talks will be video recorded conditioned upon the speakers' agreement. PLEASE SHARE THE SEMINAR INFO WITH YOUR DEPRARTMENT AND ANYONE WHO MAY BE INTERESTED! Please let the organizers know if you would like to be added to the mailing list.



The Zoom link to join the seminar




Abstracts, slides, videos of the past talks

Schedule Spring 2025:


  • Tuesday, January 14, 2025, 9:10AM Eastern time = 4:10PM/16:10 Israel time

    Boaz Klartag, Weizmann Institute of Science, Rehovot, Israel

    Special seminar broadcasting GAFA seminar at TAU, which will also occur in person in Schreiber Hall room 006, TAU. The broadcast will be via the usual zoom link. The talk is planned for about an hour but will not be capped.

    Topic: Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

    Abstract: We provide the final step in the resolution of Bourgain's slicing problem in the affirmative. Thus we establish the following theorem: for any convex body K in $\mathbb{R}^n$ of volume one, there exists a hyperplane $H$, such that the $(n-1)-$dimensional volume of the section $K\cap H$ is at least $c$. Here $c > 0$ is a universal constant. Our proof combines Milman's theory of $M-$ellipsoids, stochastic localization with a recent bound by Guan, and stability estimates for the Shannon-Stam inequality by Eldan and Mikulincer. Joint work with J. Lehec.

    Slides of the talk

    Video of the talk




  • Tuesday, January 28, 2025, 9:05AM (New York, NY time)

    Pierre Bizeul, Technion University, Israel

    Special seminar broadcasting GAFA seminar at TAU, which will also occur in person in Orenstein building, room 103, TAU at 16:05 local time. The broadcast will be via the usual zoom link.

    Topic: The slicing conjecture via small-ball estimates

    Abstract: The slicing conjecture asks wether any convex body of volume 1 has a section with volume at least a constant, independent of dimension. It was recently resolved by Klartag and Lehec, using a result of Guan about the stochastic localization process. We present an alternative proof, which uses Guan's bound to deduce an almost optimal small-ball estimate for log-concave vectors. The slicing conjecture is then deduced via an M-ellipsoid argument.

    Slides of the talk

    Video of the talk




  • Tuesday, February 25, 2025, 11AM (New York, NY time)

    Arianna Piana, Weizmann Institute, Israel

    Topic: Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models

    Abstract: We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of measures. As an application, we introduce new processes that enable the decomposition and analysis of non-quadratic potentials on the Boolean hypercube, with a specific focus on quartic polynomials. Using this framework, we derive new spectral gap estimates for tensor Ising models under Glauber dynamics, resulting in rapid mixing. Joint work with Dan Mikulincer.




  • Tuesday, March 11, 2025, 9:10AM (New York, NY time)

    Arnon Chor, Tel Aviv University, Israel

    Special seminar broadcasting GAFA seminar at TAU, which will also occur in person in Schreiber building, room 309, TAU at 16:10 local time. The broadcast will be via the usual zoom link.

    Topic: Isometries of the class of ball-bodies

    Abstract: Ball-bodies are convex bodies which are intersections of unit balls. I will give some background, and present a characterization of isometries of this class to itself (with respect to the Hausdorff metric). This is joint work with Shiri Artstein-Avidan and Dan Florentin.




  • Tuesday, March 25, 2025, 9:10AM (New York, NY time)

    Yair Shenfeld, Brown University, Israel

    Topic: Optimal transport maps, majorization, and log-subharmonic measures

    Abstract: The Lipschitz properties of transport maps, e.g. Caffarelli’s contraction theorem, is known to have many consequences in probability and analysis. In this talk we will discuss lower regularity of transport maps and explain how it relates to majorization and its consequences such as the Wehrl conjecture. We will show how log-subharmonic measures play the role of log-convex measures in the lower regularity study of transport maps.




  • Tuesday, April 8, 2025, 9:10AM (New York, NY time)

    Emanuel Milman, Technion University, Israel

    Topic: TBA

    Abstract: TBA.




  • Tuesday, April 22, 2025, 9:10AM (New York, NY time)

    Pierre Bizeul, Technion University, Israel

    Topic: TBA

    Abstract: TBA.




  • Wednesday, April 30, 2024, 9:30AM (New York, NY time)

    Shay Sadovsky, Courant Institute of Mathematics, New York, USA

    Topic: Around a Stronger Gaussian Correlation Conjecture

    Abstract: The Gaussian correlation inequality states that the Gaussian measure of an intersection of two convex sets is greater than the product of the measures of these two sets. This important inequality eluded the mathematical community for many years, until it was proved by Royen in 2014 (and recently a second, geometric proof was found by Milman). We will introduce a new and stronger version of the Gaussian correlation conjecture, in a geometric form and a probabilistic form. We will prove some special cases of the conjecture. In particular, we will see how one of these cases improves the Sidak-Khatri inequality. Based on joint work with Rotem Assouline and Arnon Chor.









    Organizers: