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...
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 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.
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.
This will be a true workshop, in the sense of concentrating the efforts of the three participants on moving forward in a specific (somewhat restricted) topic of joint interest. The subject is: Applying methods and results developed in recent years to prove central limit theorems for random walks in so-called divergence-free random environments to tackle a problem of major interest within the more general field of random walks in random environments (RWRE), namely diffusive limits in those cases when the existence of an absolutely continuous stationary/ergodic measure of the environment-as-seen-by-the-random-walker has been established.
This series of events is jointly organised by the community of probabilists -- in a very wide sense -- of Vienna (IST, TUW, UW) and Budapest (BME, ELTE, HUN-REN ARIM).
Activated random walk (ARW), an interacting particle model, has recently become a focal point in the development of the mathematical foundations of self-organized criticality (SOC), a wide-ranging theory of complex phenomena supported by strong statistical evidence. The participants of this workshop will aim to apply new mathematical tools (some of which were developed by the attendees themselves) to advance the theory of ARW in the context of discrete probability.
Four-dimensional manifolds hold a special place in the field of smooth manifolds. It is the lowest dimension in which we see exotic manifolds, and arguably the least understood of all dimensions: for example the generalised Poincare conjecture is still open only in dimension 4.
Eleonora di Nezza (Paris, Sorbonne) and Siarhei Finski (Paris, CNRS) will give introductory talks on Kähler geometry, highlighting recent advances, to a group of non-experts, primarily composed of students and postdocs.
Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively.
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.
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
