Events

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

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

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.

The main goal of this program is to advance foundational research in stochastic and randomized methods for scientific computing and optimization, enabling their effective and widespread use in challenging applications. This includes the development of new mathematical approaches, convergence results, next-generation hardware, statistical guarantees, and error bounds, as well as the integration of these tools in scientific applications at scale. We also aim to create research and mentorship opportunities for researchers at all levels, including advanced undergraduate students, graduate students, postdocs, and senior scientists.

The International Conference on Modern Mathematical Methods and High-Performance Computing in Science & Technology will bring together leading researchers, academicians, engineers, and industry experts to explore the latest advancements at the intersection of mathematics, computational science, and emerging technologies. As modern scientific challenges grow increasingly complex, the role of advanced mathematical techniques and high-performance computing (HPC) in driving innovation and discovery has become more critical than ever. This conference will serve as a dynamic platform for knowledge exchange and collaboration, focusing on key areas such as Quantum Computing, Exa-Scale Computing, Metaheuristics, Numerical Linear Algebra for Large-Scale Scientific Computing, and Quantum Communications. By fostering interdisciplinary dialogue among mathematicians, computer scientists, and engineers, the event will promote the development of innovative problem-solving approaches and accelerate progress in computational physics, chemistry, material science, and beyond.

The workshop "Valentia Geometrica 2026" is scheduled for 20-23 April 2026, and the plan is to cover topics on Geometric Analysis in a broad sense, as a crossroad between Differential Geometry, Partial Differential Equations, Calculus of Variations, Geometric Measure Theory, Metric Geometry,... Speakers: Virginia Agostiniani (Trento) Sigurd Angenent (Wisconsin) Giovanni Bellettini (Siena) Maria Colombo (EPFL) Panagiota Daskalopoulos (Columbia) Manuel del Pino (Bath) Guido De Philippis (NYU Courant) Michael Eichmair (Wien) Nicola Gigli (SISSA) Robert Haslhofer (Toronto) Andrea Malchiodi (SNS Pisa) Rafe Mazzeo (Stanford) Andrea Mondino (Oxford) Aaron Naber (Princeton) Felix Schulze (Warwick) Natasa Sesum (Rutgers) Carlo Sinestrari (Tor Vergata) Peter M. Topping (Warwick) Lu Wang (Yale) Ben Weinkove (Northwestern)​ Organizer: Esther Cabezas-Rivas, supported by CIAICO/2023/035.

Conference on Kinetic theory and Related fields in honor of Professor Yan Guo's 60th birthday

The conference brings together experts in the subject of Nonlinear Mathematical Physics. This conference is dedicated to Wilhelm I. Fushchich and Jarmo Hietarinta.

Plenary Speakers: Artur Avila, Qiang Du, Adam Kanigowski, Carlos Kenig, Pierre-Louis Lions, Kening Lu, Panagiotis E. Souganidis, Hong Wang, Xiaoyun Wang. The largest conference on analysis and applied analysis, including dynamical systems, differential applications, applied and computational mathematics.