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About

Erdős Center was established in 2021 in Budapest, Hungary by the
Rényi Institute with the support of HUN-REN (formerly 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...

Board of the Erdős Center

Endre Szemerédi
 

János Kollár

Tobias Ekholm
 

Alexander Schijver

Miklós Abért
 

Monika Ludwig

Semesters

Fractals and Hyperbolic Dynamical Systems - 2024 Fall (Aug-Dec)

08/01/2024 - 12/30/2024
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.
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Probability and Statistical Physics - 2025 Spring (Jan-June)

01/01/2025 - 06/30/2025
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.
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Analysis and Geometry on Complex Manifolds - 2025 Fall (Aug-Dec)

08/01/2025 - 12/31/2025
The primary theme of this special research semester is to explore recent advancements in the theory of complex manifolds, with a focus on both Kählerian and non-Kählerian cases.
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New Directions in Modern Harmonic Analysis and Applications- 2026 Spring (January to June)

01/01/2026 - 06/20/2026
The semester will focus on the intersections between modern harmonic analysis, number theory as well as arithmetic and geometric Ramsey theory, which are still evolving.
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Algebraic Geometry - 2026 Fall (August to December)

08/01/2026 - 12/30/2026
The thematic semester will center on various aspects of the theory of moduli spaces, that is, parameter spaces in algebraic geometry.
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Events

11/04/2024 - 11/08/2024
Erdős Center
Focused workshop on Harmonic analysis methods in fractal geometry
The focused workshop will discuss some recent applications of harmonic analysis methods in fractal geometry. Significant results have recently been achieved in this field, and we would like to better understand some of them through lectures from experts in this field.
11/11/2024 - 11/15/2024
Erdős Center
Focused workshop on L^q-dimension and its applications
The topic of the focused workshop is related to the results and methods of Pablo Shmerkin's 2019 Anals of Maths paper: "On Furstenberg's intersection conjecture, self-similar measures, and the L q norms of convolution"s.
11/28/2024 - 11/30/2024
Rényi Institute, Erdős Center
Spectral gaps and stochastic exchange models
The mini workshop focuses on methods for obtaining key estimates on sharp lower bounds for the spectral gap of the finite coordinate processes. These are required for the hydrodynamics limit in several fundamental particle systems or energy exchange systems.
11/28/2024 - 11/30/2024
Rányi Institute, Turan Hall
Spectral problems for planar domains and billiards
The workshop focuses around the questions of spectral rigidity motivated by the famous question: Can you hear the shape of a drum? Recent progress on dynamical spectral rigidity will be discussed.
01/20/2025 - 01/24/2025
Rényi Institute, main lecture hall
School on Disordered media
The School on Disordered media is part of the Semester on Probability and Statistical Physics. MSc students, PhD students and postdocs are welcome to apply.
01/27/2025 - 01/31/2025
Erdős Center
Workshop on Disordered media
The workshop will cover a wide range of subjects related to statistical physical phenomena in random and disordered media.
03/31/2025 - 04/04/2025
Rényi Institute, Main Lecture Hall
Groups and Geometry School
The school and conference will be devoted to the most diverse aspects of group theory and geometry in their broadest sense.
04/06/2025 - 04/11/2025
Rényi Institute, Main Lecture Hall
Groups and Geometry Workshop
The school and workshop will be devoted to the most diverse aspects of group theory and geometry in their broadest sense.
06/30/2025 - 07/02/2025
Erdős Center
Stochastics and Influences Workshop
The aim of the workshop is to celebrate the impact of the work of Bálint Tóth on the occasion of his 70th birthday. Topics of the workshop include the large-scale behaviour of stochastic and dynamical systems inspired by the questions of statistical physics.
08/04/2025 - 08/08/2025
Rényi Institute, main lecture hall
Summer school I: Invitation to complex geometry

 

The Summer school: "Invitation to complex geometry" will be held between 04-08 August 2025 at the main lecture hall of the Rényi Institute (Budapest) as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Graduate students (Msc and PhD), postdocs, and early career researchers are encouraged to apply. 

MINICOURSES

08/11/2025 - 08/15/2025
Rényi Institute, main lecture hall
Summer school II: Summer school on singular Kählerian metrics and Hermitian geometry
During this one week summer school, Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry.
09/01/2025 - 09/05/2025
Rényi Institute, main lecture hall
Workshop on Singular canonical Kähler metrics on compact and non-compact manifolds

The aim of this workshop is to explore recent advances in Kähler geometry, focusing on non-Archimedean aspects of the Strominger--Yau--Zaslow conjecture, potential-theoretic approaches to singular Kähler-Einstein metrics, geometric estimates for solutions to Complex Monge–Ampère equations, connections with the minimal model program, and Calabi-Yau metrics on non-compact manifolds.

 

09/08/2025 - 09/12/2025
Rényi Institute, main lecture hall
Workshop on Cohomological and metric aspects of Hermitian and almost complex manifolds

The goal of this workshop is to bring together both senior and junior specialists in the fields of almost complex and non-Kähler geometry to present their latest achievements in research. Key topics will include cohomological properties of complex and symplectic manifolds, analytical techniques in non-Kähler geometry, special structures on complex manifolds, deformations of complex objects, topological aspects of complex and symplectic manifolds, and Hodge theory on almost Hermitian manifolds.

Experience Stories

Account of the winter school on singularities and low-dimensional topology

02/15/2023
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.
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Optimal Transport on Quantum Structures Workshop

10/07/2022
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
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Summer School on Quantum Optimal Transport

09/30/2022
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
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Automorphic Forms Conference- An exceptional event post-pandemic

09/20/2022
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
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Automorphic Forms Summer School from a Student's Perspective

09/07/2022
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
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First-Hand Experience From the Summer Schools: Mathematics of Large Networks & Graphs, Groups, Stochastic Processes

06/17/2022
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
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