Events

Random polynomials arise in many applications, ranging across many fields of physics, engineering, economics, and mathematics. For example, in recent years, random polynomials have been used to study problems in evolutionary game theory, random matrix theory, free probability theory, numerical analysis, symplectic geometry, quantum chaotic dynamics, random differential equations, and approximate solutions of operator equations. This meeting will be a forum to explore problems involving random polynomials, focusing on the various aforementioned applications and involving researchers who study their theoretical, applicable, computational, and numerical aspects.

The workshop aims to bring together researchers working in combinatorics, geometry, and related fields to discuss recent developments and foster collaboration.

Illustration reveals the hidden structures of mathematics, broadening access to its inherent beauty and pushing the boundaries of research. Here two disciplines are interwoven: on the one hand, the art and craft of presenting ideas and on the other hand, the creativity and scholarship of creating mathematics. This program facilitates research and collaboration on these topics, both between and within these groups, and to promote professional support and recognition both for illustration and for building the infrastructure needed for its creation.

Linear Algebra over finite fields is a building block for several applications including data storage, error detection and correction, and public-key cryptography. These applications enable the security and possibility of our daily digital lives. This workshop aims to expose and engage junior researchers in the foundations and applications of linear algebra over finite fields. Participants will learn about the interplay between coding theory and cryptography, along with mathematics related to a range of applications. Participants will be assigned a group led by one of the course instructors. Open problems suitable for exploration by non-experts will be shared, and students will be guided in the research by these instructors.

C.I.M.E. summer school with minicourses by Bergfalk, Codenotti, Krupinski, Kwiatkowska, Ibarlucia, and Panagiotopoulos on interactions between logic and topological and measurable dynamics

The Annual International Conference of the Georgian Mathematical Union was established in 2010 and has been held traditionally at Batumi Shota Rustaveli State University. Batumi is the city of Georgia and the capital of the Autonomous Republic of Adjara. It is located along the coast of the Black Sea in the southwest region of Georgia. In accordance with recent developments, the conference has been conducted in a hybrid format since 2021. The purpose of the conference is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields.

Scientific Directors: Jeffrey Bergfalk, Univ. Barcelona, Spain Martino Lupini, Univ. Bologna, Italy Aristotelis Panagiotopoulos, Univ. Vienna, Austria Lectures: Alessandro Codenotti, Univ. Bologna, Italy; and Aleksandra Kwiatkowska, Uniw. Wroclawski, Poland - Fraı̈ssé theory in topology and dynamics Aristotelis Panagiotopoulos, Univ. Vienna, Austria - Polish group actions and classification strength Krzysztof Krupiński, Uniw. Wroclawski, Poland - Model theory, topological dynamics, and applications to additive combinatorics Tomás Ibarlucı́a, Univ. Paris Cité, France - Model theory of measure-preserving systems Jeffrey Bergfalk, Univ. Barcelona, Spain - Infinitary combinatorics, topology, and derived limits

Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Azerbaijan Republic is holding the XII International Scientific Conference “Modern Problems of Mathematics and Mechanics” which will be held September 03-06, 2025 in Baku, Azerbaijan Conference Topics • Functional analysis and theory of operators • Differential equations and optimal control • Functions theory • Harmonic and non-harmonic analysis • Algebra, geometry and topology • Theory of probability and mathematical statistics • Computational mathematics and mathematical modeling • Mechanics • History of development of mathematics and mathematical education

The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field — these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories. This semester program is driven by the need to interweave machine learning, graphical computer software, and computability perspectives and techniques into the study of these diagrammatic, algebraic, and geometric structures.

The main part of the PhD school are the two minicourses: Minicourse 1: A short course in spectral graph theory and distance-regular graphs Lecturer: Sebastian Cioaba, University of Delaware, USA Minicourse 2: Container method in combinatorics Lecturer: Rajko Nenadov, University of Auckland, New Zealand There will also be several invited lectures, given by: Aida Abiad (Eindhoven University of Technology, Netherlands) Bence Csajbók (ELTE Eötvös Loránd University, Hungary) Miguel Angel Fiol (Polytechnic University of Catalunya, Spain) Daniel Kráľ (Leipzig University, Germany) PhD students will have the opportunity to give a short talk.