Erdős Center was established in 2021 in Budapest, Hungary by the Rényi Institute with the support of ELKH in Budapest.
We aim to organize workshops, summer schools and conferences as well as to host visiting researchers within the framework of thematic semesters.
In addition, informal Focused Workshops addressing timely challenges in mathematics are organized in the Summer.
The Center is located in Reáltanoda utca, the historic center of Budapest, just accross the Rényi Institute. The centre started operating in the spring semester of 2022. More info about us...
The semester will focus on recent developements in the theory of surface singularities, and the connection of this discipline with low-dimensional topology, and in particular, to Heegaard Floer homology.
The semester is built around two strongly related topics, Fourier analysis and additive problems. In the first half of the semester, we will focus on Fourier analysis and its applications in various branches of mathematical analysis.
The major goal of the semester is to bring together experts and young researchers to initiate new interactions on various aspects of chaotic dynamical systems out of equilibrium and on the geometry of non-conformal systems.
The goal of the semester is to bring together prominent scientists of the field to discuss the frontline of research and to introduce the next generation of researchers to the wide range of ideas and methods of contemporary probability and mathematical statistical physics.
The main theme of the Semester is to connect various approaches in the Theory of Complex Manifolds considering both the Kahlerian and non-Kahlerian cases.
The purpose of this focused workshop is to review the available recent literature and explore connections between the h-principle and magnetic relaxation.
The topic of the proposed Focused Workshop addresses operation (E) based on the notion, due to Katona and Tarján, of weak/strong P-freeness for a given poset P.
The aim of the workshop is to bring together junior and senior researchers with backgrounds ranging from discrete and computational geometry to analysis and probability theory with the common theme of studying geometric problems, often related to convexity in a broad sense.
For a graph \(G=(V,E)\) with edge weight \(w:E\rightarrow \mathbb{R}^+\), a \(t\)-spanner is a spanning subgraph \(H\) such that for all pair of vertices \(u,v\in V\), we have \(d_H(u,v)\leq t\cdot d_G(u,v)\), where \(d_G(u,v)\) denotes the shortest path distance between vertices \(u\) and \(v\) in \(G\). That is, \(H\) distorts distances in \(G\) by a factor of at most \(t\), which is called the spanning ratio or stretch factor of \(H\).
The summer school is aimed to give an introduction to the theory and the most recent techniques and topics of additive combinatorics dedicated to graduate students and young researchers.
This yearly international workshop brings together young mathematicians, providing in depth introductions to various topics in set theory, leading to questions at the forefront of research.
The workshop will be an informal gathering of researchers of related backgrounds (like set theory, dynamics, probability theory, combinatorics, and even theoretical computer science) to cover the latest developments in the area.
The school aims to familiarize young researchers with some of the most recent advances in the theory of ergodic and statistical properties of
hyperbolic dynamical systems.
The aim of the school is to study various aspects of fractal geometry, motivated by iterated function systems, dynamical systems and probability theory.
The workshop focuses on the recent developments of geometric measure theory, dimension theory of dynamical systems, the geometry of random and deterministic fractals, and related topics.
Recently, I participated in the Winter school in singularities and low-dimensional topology. This was the opening event of the Erdős Center semester Singularities and low-dimensional topology. The workshop was intended to form a link between low-dimensional topology and singularity theory in the minds of more than a hundred young researchers and PhD-students such as myself.
In the last two weeks of September we were welcome at the Rényi institute for a school and workshop on optimal transport on quantum structures. After a very nice school introducing some of the main ideas in this field, we got to start on the research talks.
Matthijs Vernooij
During my visit to the Hungary National museum, I learned that during the cold war Budapest was seen as a city where scholars came together, minds were sparked and conventions where challenged. Well, for at least two weeks in September history seemed to have repeated itself. Robert de Keijzer
The Erdős Center organised the Automorphic forms conference from 5 - 9 September, 2022. This 5 day conference included 21 invited talks and 15 contributed talks by leading researchers in the theory of automorphic forms from various universities across the world. Keshav Aggarwal
In the semester preceding the summer school, Gergely Harcos and Péter Maga gave an introductory course about automorphic forms at Eötvös Loránd University. This helped us to gain insight into automorphic forms, and for me, it opened a whole new area of mathematics. Csaba Anderlik
During the past few weeks, I participated in two summer schools at the Alfréd Rényi Institute of Mathematics, as part of the Erdős center semester on Large Networks and their Limits...
Vilas Winstein