Events

How can we study algebraic geometry, modular representation theory, and stable homotopy theory at the same time? One answer is given by tensor triangular geometry, which is a young and vibrant area based on viewing symmetric monoidal triangulated categories as geometric objects. The aim of the seminar is to give a comprehensive introduction to the fundamentals of the subject and an overview of recent developments in algebra and topology. There will be a particular focus on triangulated categories associated to finite group actions, for instance equivariant spectra and categories arising from representation theory. The target audience is PhD students and postdocs with a background in homological algebra and/or homotopy theory (e.g. some exposure to derived or triangulated categories) who are keen to learn tensor triangular geometry and be brought up to date with some current research in the subject. Deadline for application: 15 July 2025

Stochastic analysis is a very dynamic field which has undergone numerous developments over the last decades: stochastic differential equations (SDE), stochastic partial differential equations (EDPS), Malliavin calculus… The overall aim of the workshop is to bring together experts from different disciplines related to singular stochastic systems to facilitate the exchange of ideas. The goal is to identify and motivate novel research directions on the well-posedness, dynamical behavior and numerical simulation of singular stochastic (partial) differential equations.

The field of diagrammatic categorification is still in its early stages, but it has already had a significant impact on more traditional mathematics. This workshop aims to unite both established experts and emerging scholars across various domains of diagrammatic categorification, including representation theory, combinatorics, and link homology.

In recent years, modern algebraic geometry, such as moduli spaces and enumeration, has been very successfully applied to combinatorics and tensors, resolving old conjectures, giving easier proofs of classical theorems, and opening new research paths. This seminar will focus on the two main interconnected topics. (1) Interactions between matroid theory, geometry, and intersection theory, as in the recent work of June Huh and beyond, using varieties of complete linear maps and complete quadrics; (2) new invariants of tensors, such as 111-algebra and moduli spaces of tensors from Hilbert schemes of points and its generalisations. The common motive is to associate new intricate invariants to seemingly explicit, structureless objects such as tensors or graphs. Deadline for applications: 1 July 2025

This workshop encompasses three major aspects of computation within Representation Theory and Algebraic Combinatorics. One concerns the development of efficient algorithms to compute important quantities in order to understand and classify them better. This is closely related to understanding what optimality we could expect and in particular the computational complexity aspects of those problems. Their computational complexity class can also be used to understand the existence of combinatorial interpretations, in particular for major structure constants lacking positive formulas like Kronecker and plethysm coefficients. On the other hand, representation theory has seen important applications within computational complexity theory, in the context of Geometric Complexity Theory and Quantum Information Theory. Last, but not least, we will discuss the collection of “experimental” data, which helps formulate conjectures, find counterexamples and understand the behavior for some of the problems listed above.

We are excited to announce the Gulf International Conference on Applied Mathematics (GICAM 2025) at GUST, Kuwait. We are honoured to welcome distinguished keynote speakers, including: - Prof. Daniele Boffi (KAUST and University of Pavia, Saudi Arabia and Italy) - Prof. Siddhartha Mishra (ETH Zurich, Switzerland) - Prof. Volker John (WIAS Berlin, Germany) - Prof. Michael Bonsall (University of Oxford, United Kingdom) - Prof. Ard Louis (University of Oxford, United Kingdom) - Prof. Jeroen Lamb (Imperial College London, United Kingdom) - Prof. Lourenço Beirão da Veiga (University of Milano-Bicocca, Italy) Publications and Proceedings: Selected papers will be published in Springer Proceedings (Open Access). Outstanding contributions will be invited for submission to a special issue of Computers & Mathematics with Applications (CAMWA). For inquiries, please contact Naveed Ahmed: gicam2025@gust.edu.kw We look forward to welcoming you to GICAM 2025 for an exciting exchange of ideas!

Time parallel time integration is a new area of research to solve large scale evolution problems in parallel. When solving such time dependent problems, the time direction is usually not used for parallelization, because the time evolution is perceived as being an entirely sequential process, numerically treated with time stepping methods. When parallelization in space however saturates, the time direction offers itself as a further direction for parallelization. The time direction is however special, because of the causality principle obeyed by time dependent problems: the solution later in time is determined by the solution earlier in time, and not the other way round. Algorithms trying to use the time direction for parallelization must therefore be special, and take this very different property of the time dimension into account. This Oberwolfach Seminar is a first to offer a complete and accessible mathematical introduction to how one can overcome this causality principle and design algorithms which integrate time dependent problems parallel in time. Deadline for application: 15 September 2025

How to “visualize” the shape of a manifold? More technically, how can one describe the topological and geometric structures of manifolds in a quantitative way? In modern differential geometry, a fundamental strategy is to appropriately “normalize” the shape by canonical metrics — the Riemannian metrics that satisfy certain nonlinear partial differential equations. The seminar will be devoted to investigating canonical metrics and address several basic questions, such as: regularity theory — how well do the canonical metrics perform; degeneration theory: which kinds of complications may appear; moduli space theory — what does the space of all canonical metrics look like? The lectures will focus on degenerations and moduli space of Einstein metrics, global structures and compactifications of moduli space, moduli space and global topological invariants, etc. Deadline for application: 15 September 2025

Webs are diagrammatic tools for representing complex calculations graphically. These diagrams first arose from the representation theory of classical groups, and they have since become important in disparate areas of mathematics. The goal of this workshop is thus to bring together experts from these communities and cross-fertilize these diverse subjects by spreading knowledge of recent developments and perspectives on our shared interest in webs. This workshop will also provide an opportunity for distinct research groups to share current code functionality as well as future needs and desires, with an aim towards building collaborative and open-source computing capabilities.

This program bring together researchers working in Bayesian nonparametric inference (BNP), including computation, foundations, methodology and application of BNP methods, with the goal of identifying newly emerging computational strategies and inference approaches. The program and invited talks are planned to balance theoretical expertise, interest and prowess in computational methods, and exposure to selected substantial application areas. The intended nature of the program as identifying synergies of different approaches and potentially new research directions naturally leads to favoring breath over depth, with more emphasis on covering diverse areas rather than on in-depth discussions of a single specific theme.