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From the Matsumoto Yor observation to stationary measures for a discrete KdV model

Abstract: From the Matsumoto Yor observation to stationary measures for a discrete KdV model Let F(x,y)=(u,v) from R2 into itself such that F∘F(x,y)=(x,y). The discrete Korteweg-de Vries model associa...

Hyperbolicity and fundamental groups of complex quasi-projective varieties

The strong Green-Griffiths-Lang conjecture predicts that a complex quasi-projective variety X is of log general type if and only if there is a proper Zariski closed subset Z of X such that all the hol...

On the singular fibers of the Hitchin fibration and a Torelli theorem for moduli spaces of principal bundles

Let G be a complex reductive group and C be a complex smooth projective curve of genus at least two. The moduli space of G-Higgs bundles over C has a natural structure of holomorphic symplectic quasi-...

A data-driven kinetic model for opinion dynamics and contacts

We present a kinetic model for opinion dynamics depending on the presence of social media contacts. Firstly, we describe how to model the evolution of the density of contacts starting from the microsc...

Gluing for $\phi^4_3$ on cylinders

Abstract: The $\phi^4_3$ model is a 3-dimensional non-Gaussian Euclidean QFT. Showing existence of such a measure was one of the highlights of the constructive QFT programme in the '70s. In this talk ...

Local minimizers of the interface length functional based on a concept of local paired calibrations

Interfacial energy functionals are ubiquitous in nature. However, some of the most basic questions are still open. In this talk, I will address one of these questions and characterize local minimizers...

Non-linear PDEs approach to statistical mechanics of Dense Associative Memories

Neural networks have become a powerful tool in various domains of scientific research and industrial applications. However, the fundamental working principles of neural architectures still lacks of a ...

Birational invariance of motivic zeta functions for K-trivial varieties

This talk is based on joint work with Luigi Lunardon. To every smooth and proper variety X with trivial canonical bundle over the field of complex Laurent series C((t)), one can attach its motivic zet...

Kinetic Theory for Laguerre Tessellations

Abstract: In this talk I will discuss a family of Gibbsian measures on the set of Laguerre tessellations. These measures may be used to provide a systematic approach for constructing Gibbsian solution...

Kinetic Theory for Laguerre Tessellations

In this talk I will discuss a family of Gibbsian measures on the set of Laguerre tessellations. These measures may be used to provide a systematic approach for constructing Gibbsian solutions to Hamil...