Zurich colloquium in mathematics

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Frühjahrssemester 2022

Datum / Zeit Referent:in Titel Ort
22. März 2022
16:30-18:15
Prof. Dr. Jean-François Le Gall
Université Paris-Saclay
Details

Zurich Colloquium in Mathematics

Titel Recent developments in random geometry
Referent:in, Affiliation Prof. Dr. Jean-François Le Gall, Université Paris-Saclay
Datum, Zeit 22. März 2022, 16:30-18:15
Ort 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
Details

Zurich Colloquium in Mathematics

Titel Statistical properties of Sinai billiards obtained via anisotropic spaces
Referent:in, Affiliation Prof. Dr. Viviane Baladi, CNRS, Sorbonne Université and ETH-ITS
Datum, Zeit 12. April 2022, 16:30-18:15
Ort 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. Mai 2022
16:30-18:15
Prof. Dr. Yann Brenier
CNRS, Université Paris-Saclay
Details

Zurich Colloquium in Mathematics

Titel From Monge's optimum transport to Einstein's gravitation via Euler's hydrodynamics
Referent:in, Affiliation Prof. Dr. Yann Brenier, CNRS, Université Paris-Saclay
Datum, Zeit 3. Mai 2022, 16:30-18:15
Ort 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. Mai 2022
16:30-18:15
Prof. Dr. Irene M. Gamba
University of Texas at Austin
Details

Zurich Colloquium in Mathematics

Titel On Collisional Transport topics from Gas Dynamics to Mean Field Theory
Referent:in, Affiliation Prof. Dr. Irene M. Gamba, University of Texas at Austin
Datum, Zeit 31. Mai 2022, 16:30-18:15
Ort 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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