Events

This Arbeitsgemeinschaft will study localization and delocalization phenomena for discrete random Schrödinger operators and related random matrix and graph models. Our emphasis will be on: • spectral-theoretic criteria for localization (RAGE, spectral types, Green function criteria), • the fractional moment method and high-disorder localization, • random band matrices (localization vs delocalization transition), • multiscale analysis for lattice models, especially Bernoulli distributions, • discrete unique continuation and its role in modern Bernoulli localization proofs, • absolutely continuous spectrum and resonant delocalization on regular trees • random graphs (Erdős–Rényi). As in typical AG format, not all items may be covered; the final selection may depend on participant interest and background. Deadline for application: 1 July 2026

The Catalan Mathematical Society (CMS) is hosting the 5th edition of the Barcelona Mathematical Days (BMD) from October 7th until October 9th at the Institut d'Estudis Catalans, in Barcelona. The BMD is the flagship conference of the CMS. Since its inception, the meeting has brought together leading researchers from around the world working in a broad range of mathematical disciplines, including Combinatorics, Dynamical Systems, Mathematical Modelling, Stochastic Analysis, Partial Differential Equations and Topology, among many others.

SAJDHM2026 continues the interaction in form of a workshop for the IRGTADS members, in order to work properly on the topics of A-homotopy theory and Topological Data Analysis, previously discussed in SAJDHM2025 and at the IRGTADS seminars.

The workshop aims to bring together researchers exploring different strategies to couple mathematical modeling with real biological data, and highlight the opportunities and challenges that emerge when modeling cell and tissue dynamics from a data-driven perspective.

Date: October 14, 2026 (Wednesday) at 4PM (UK time) Speaker: Prof. Peter Keevash, University of Oxford, UK Topic: Combinatorial designs About the Talk: Prof. Peter Keevash is a leading mathematician whose work has had a profound impact on combinatorics and related areas. He is widely known for his groundbreaking results on the existence of combinatorial designs, resolving longstanding open problems such as the existence of Steiner systems for all admissible parameters. His work has introduced powerful new methods at the intersection of combinatorics, probability, and algebra. In this talk, he will discuss combinatorial designs, including recent advances, key ideas behind their construction, and their broader significance within modern combinatorics. See the blog announcement https://functor.network/user/3333/entry/1991 of this talk for more details. Link to join: At the scheduled time, joint the talk here https://teams.microsoft.com/meet/333342697383687?p=FcQDCGJGAsEnJxd97C No registration required.

There is an increase of models in fluid dynamics which incorporate new stochastic and relaxation effects. For the stochastic part, this focuses on the well-posedness of PDEs with rough boundary noise. Relaxation effects lead to new models avoiding infinite propagation speed, but also questions global well-posedness known for classical models. The development and analysis of numerical schemes has also been extensively investigated. The seminar aims at reporting on these recent developments, and at discussions among an up-and-coming community. Deadline for application: 12 July 2026

The seminar focuses on Hilbert’s irreducibility theorem and its modern reinterpretations as an arithmetic-geometric property of varieties over number fields. Originating in Hilbert’s work on realizing finite groups as Galois groups, these ideas have since evolved through contributions by Colliot-Thélène, Sansuc, Serre, Corvaja, Zannier and others into the study of the so-called Hilbert and weak Hilbert properties, which describe the abundance and distribution of rational points on varieties and their behavior under covers. In recent years, the subject has seen remarkable progress, with new results on algebraic groups, abelian varieties, del Pezzo surfaces, and K3 surfaces. The aim of this seminar is to introduce PhD students and postdocs to these developments and to the techniques used in their proofs. Deadline for application: 12 July 2026