Conveners
Plenary lecture
- Marcus Waurick
Plenary lecture
- Dean Crnković
Plenary lecture
- Zoran Vondracek (University of Zagreb)
Plenary lecture
- Andrej Dujella
Plenary lecture
- Ninoslav Truhar
Plenary lecture
- Dražen Adamović
Plenary lecture
- Ninoslav Truhar
In applied mathematics, for instance through the work of Papanicolaou,
it has been known that convection may lead to a substantial increase of
the effective diffusivity, here of a passive tracer. We consider a diffusion process with a random time-independent and spatially stationary drift that de-correlates on large scales. The two-dimensional case is scaling-wise critical; we focus on a...
We will survey a number of recent results dealing with statistical properties of dynamical systems exhibiting some hyperbolicity. These include various limit theorems (central limit theorem, large deviation principle, almost sure invariance principle etc.) as well as statistical stability and linear response.
References:
[1] D. Dragičević, G. Froyland, C. Gonzalez-Tokman and S. Vaienti,...
A plunge into the world of large Erd\H{o}s-R\'enyi graphs, either regular or with non-trivial irregularities. The scaling limits of connected component masses are called the multiplicative coalescents. While a number of their properties have been known for 25 or more years, some interesting questions were answered only recently, and many others remain unsolved. The talk will attempt to give an...
Modular curves are moduli spaces of elliptic curves with prescribed images of their Galois representations. They are a key tool in studying torsion groups, isogenies and, more generally, Galois representations of elliptic curves. In recent years great progress, in many directions, has been made in our understanding of points on modular curves of low degree. In this talk I will describe some of...
In this talk we shall review the definition and use of Eisenstein series in various cases in the theory of automorphic forms and in the local representation theory. We shall give examples from the seminal classical results for the general linear and classical groups and also some of the authors' results in the case of general linear, classical and exceptional groups. Some of these results are...
The concepts of jet scheme and arc space over an algebraic variety were introduced by John Nash in his 1968 preprint on singularities. In the last two decades, many exciting new discoveries have connected arc and jet algebras with the theory of partitions, modular forms, and algebraic geometry. Arc algebras/spaces have recently acquired increased interest within the field of vertex algebra,...
Local order isomorphisms of matrix and operator domains will be discussed. A connection with Loewner's theorem and the fundamental theorem of chronogeometry will be explained. The first one characterizes operator monotone functions while the second one describes the general form of bijective preservers of light-likeness on the classical Minkowski space.
