8th Croatian Mathematical Congress

Session

Plenary lecture

PL

2 Jul 2024, 10:00

Osijek

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

51. Convection-enhanced diffusion in a critical case

Felix Otto

02/07/2024, 10:00

PDE: Partial Differential Equations and Applications

Plenary lecture

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...

31. Statistical properties of random dynamical systems

Davor Dragičević

02/07/2024, 14:00

DS/ODE: Dynamical Systems, Ordinary Differential Equations and Applications

Plenary lecture

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,...

34. Near-critical random graphs, multiplicative coalescents and their properties

Vlada Limić (CNRS and Universite de Strasbourg)

03/07/2024, 08:30

PSF: Probability, Statistics and Financial Mathematics

Plenary lecture

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...

32. Low degree points on modular curves

Filip Najman (University of Zagreb)

03/07/2024, 14:00

NT: Number Theory

Plenary lecture

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...

40. On Eisenstein series

Marcela Hanzer (Department of Mathematics, Faculty of Science, University of Zagreb)

04/07/2024, 08:30

RT: Representation theory

Plenary lecture

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...

46. Arc algebras and vertex algebra

Antun Milas

05/07/2024, 08:30

RT: Representation theory

Plenary lecture

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,...

29. From Loewner's characterization of operator monotone functions to fundamental theorem of chronogeometry

Peter Semrl (Institute of Mathematics, Physics and Mechanics, Ljubljana)

05/07/2024, 12:00

ANL: Analysis and its Applications

Plenary lecture

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.