Zurich colloquium in mathematics

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Date / Time

Speaker

Title

Location

22 March 2022
16:30-18:15

Prof. Dr. Jean-François Le Gall
Université Paris-Saclay

Event Details

Title	Recent developments in random geometry
Speaker, Affiliation	Prof. Dr. Jean-François Le Gall, Université Paris-Saclay
Date, Time	22 March 2022, 16:30-18:15
Location	KO2 F 150
Abstract	Models of two-dimensional random geometry are obtained as universal scaling limits in the Gromov-Hausdorff sense of large graphs embeddedin the sphere. These models, which include the Brownian sphere, the Brownian disk and the Brownian plane, are also closely related to the quantum surfaces studied by Miller and Sheffield. We will present recent progress in the study of these random metric spaces. In particular we will discuss some remarkable properties of geodesics and mention some open problems.

Recent developments in random geometryread_more

KO2 F 150

12 April 2022
16:30-18:15

Prof. Dr. Viviane Baladi
CNRS, Sorbonne Université and ETH-ITS

Event Details

Title	Statistical properties of Sinai billiards obtained via anisotropic spaces
Speaker, Affiliation	Prof. Dr. Viviane Baladi, CNRS, Sorbonne Université and ETH-ITS
Date, Time	12 April 2022, 16:30-18:15
Location	KO2 F 150
Abstract	Sinai billiards (or the periodic Lorentz gas) are natural dynamical systems which have been challenging mathematicians for half a century. In the past decade, a new mathema-tical tool to study them has emerged : Ruelle transfer operators acting on scales of anisotropic Banachspaces. This tool was introduced in smooth hyperbolic dynamics 20 years ago. It first appeared in the (non smooth) billiards setting 10 years ago,in a work of M. Demers and H.-K. Zhang, who gave a new proof of L.-S. Young's celebrated 1998 result of exponential mixing for the SRB measure of the billiard map. I will survey new results obtained on dispersing billiards (for both discrete and continuous time) using this approach,leading to recent work with M. Demers on the measure of maximal entropy (MME) and more general Gibbs states for the billiard map, and very recent work of J. Carrand on the MME for the billiard flow.

Statistical properties of Sinai billiards obtained via anisotropic spacesread_more

KO2 F 150

3 May 2022
16:30-18:15

Prof. Dr. Yann Brenier
CNRS, Université Paris-Saclay

Event Details

Title	From Monge's optimum transport to Einstein's gravitation via Euler's hydrodynamics
Speaker, Affiliation	Prof. Dr. Yann Brenier, CNRS, Université Paris-Saclay
Date, Time	3 May 2022, 16:30-18:15
Location	KO2 F 150
Abstract	It has long been recognized that the Monge optimal transport problem plays an important role in many areas of Mathematics and Science. Its quadratic version can be elegantly and fruitfully refor-mulated in the language of Euler's hydrodynamics, which is also true for the Schroedinger equation of Quantum Mechanics according to Madelung. It turns out that Einstein's gravitation (at least in vacuum) can also be reformulated in hydrodynamic language as a kind of matrix-valued quadratic optimal transport problem.

From Monge's optimum transport to Einstein's gravitation via Euler's hydrodynamicsread_more

KO2 F 150

31 May 2022
16:30-18:15

Prof. Dr. Irene M. Gamba
University of Texas at Austin

Event Details

Title	On Collisional Transport topics from Gas Dynamics to Mean Field Theory
Speaker, Affiliation	Prof. Dr. Irene M. Gamba, University of Texas at Austin
Date, Time	31 May 2022, 16:30-18:15
Location	KO2 F 150
Abstract	I plan to talk about applied analysis and numerical methods for Boltzmann flows.

On Collisional Transport topics from Gas Dynamics to Mean Field Theoryread_more

KO2 F 150

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