• 2526 - Non-Archimedean Geometry and Applications 

  [OWR-2025-29] Workshop Report 2025,29 (2025) - (22 Jun - 27 Jun 2025)

  The workshop focused on recent developments in non-Archimede-an analytic geometry with various applications to other fields. The topics of the talks included foundational results on analytic spaces as well as applications ...

• 2525 - Recent Trends in Algebraic Geometry 

  [OWR-2025-28] Workshop Report 2025,28 (2025) - (15 Jun - 20 Jun 2025)

  Algebraic geometry has grown into a broad subject, with many different streams often advancing quite independently of each other. Nonetheless, important advances have often come from visionary applications of ideas in ...

• 2523 - Computational Group Theory 

  [OWR-2025-27] Workshop Report 2025,27 (2025) - (01 Jun - 06 Jun 2025)

  This was the ninth Oberwolfach Workshop on Computational Group Theory. It demonstrated the deep and interesting interactions between theoretical results and powerful practical algorithms in Computational Group Theory. ...

• 2522 - Statistical Physics Out of Equilibrium: Quantitative Results and Universality 

  [OWR-2025-26] Workshop Report 2025,26 (2025) - (25 May - 30 May 2025)

  Over the last 30 years, there has been spectacular progress in deriving the well-known hydrodynamic limits from stochastic interacting particle systems, as well as characterizing the fluctuations of locally conserved quantities ...

• 2521 - Enveloping Algebras and Geometric Representation Theory 

  [OWR-2025-25] Workshop Report 2025,25 (2025) - (18 May - 23 May 2025)

  The workshop brought together experts investigating algebraic Lie theory from the categorical, combinatorial, geometric and noncommutative viewpoints. In general, the talks during the workshop focused on structural results ...

• 2520 - Mathematical Advances in Geophysical Fluid Dynamics 

  [OWR-2025-24] Workshop Report 2025,24 (2025) - (11 May - 16 May 2025)

  The workshop "Mathematical Advances in Geophysical Fluid Dynamics" addressed recent advances in modeling, analytical, computational and stochastical studies of geophysical models. In particular addressed are atmosphere-, ...

• 2519 - Singularities in Discrete Systems 

  [OWR-2025-23] Workshop Report 2025,23 (2025) - (04 May - 09 May 2025)

  Discrete systems are ubiquitous in applications. Their analysis and simulation call for taming their inherent multiscale character, as microscopic dynamics lead to the emergence of structures across scales. ...

• 2518 - Computational Multiscale Methods 

  [OWR-2025-22] Workshop Report 2025,22 (2025) - (27 Apr - 02 May 2025)

  Many scientific and engineering problems exhibit complex interactions over a wide range of inseparable scales in space and time. Direct numerical simulations to solve such multiscale problems are often beyond current ...

• 2517 - Uncertainty Quantification 

  [OWR-2025-21] Workshop Report 2025,21 (2025) - (20 Apr - 25 Apr 2025)

  Uncertainty quantification (UQ) is concerned with including and characterising uncertainties in mathematical models. Major steps include the proper description of system uncertainties, analysis and efficient quantification ...

• 2516 - Algebraic Groups 

  [OWR-2025-20] Workshop Report 2025,20 (2025) - (13 Apr - 18 Apr 2025)

  The field of Linear Algebraic Groups is still a very active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, ...

• 2515 - Toric Geometry 

  [OWR-2025-19] Workshop Report 2025,19 (2025) - (06 Apr - 11 Apr 2025)

  Toric varieties provide a rich class of examples in algebraic geometry that benefit from deep and fruitful interactions with combinatorics. This workshop highlighted recent interactions between toric geometry and mirror ...

• 2514 - Arbeitsgemeinschaft: Relative Langlands Duality 

  [OWR-2025-18] Workshop Report 2025,18 (2025) - (30 Mar - 04 Apr 2025)

  One of the fundamental properties of automorphic forms is that their periods - integrals against certain distinguished cycles or distributions - give special values of $L$-functions. The Langlands program posits that ...

• 2513 - Frontiers of Statistics and Machine Learning 

  [OWR-2025-17] Workshop Report 2025,17 (2025) - (23 Mar - 28 Mar 2025)

  AI is currently the central theme in science. Whereas the underlying algorithms rely on rather simple mathematical operations such as matrix-vector multiplications and applying non-linearities componentwise, deriving a ...

• 2512 - Finite Groups, Fusion Systems and Applications 

  [OWR-2025-16] Workshop Report 2025,16 (2025) - (16 Mar - 21 Mar 2025)

  The Classification of Finite Simple Groups (CFSG) is considered to be one of the most important results of modern mathematics, and has led to many applications both inside and outside group theory. The theory of fusion ...

• 2511 - Mathematical Methods in Quantum Chemistry 

  [OWR-2025-15] Workshop Report 2025,15 (2025) - (09 Mar - 14 Mar 2025)

  Quantum chemistry focuses on modelling and simulating the behaviour of molecular systems using the fundamental principles of quantum mechanics. However, the underlying equations, such as the Schrödinger equation for computing ...

• 2510c - Mini-Workshop: Hardy Inequalities in Discrete and Continuum Settings 

  [OWR-2025-14] Workshop Report 2025,14 (2025) - (02 Mar - 07 Mar 2025)

  Hardy inequalities play a fundamental role in various fields, such as mathematical physics, operator theory, the analysis of partial differential equations, potential theory, and probability theory. The goal of this ...

• 2510b - Mini-Workshop: Recent Results on Loop Spaces 

  [OWR-2025-13] Workshop Report 2025,13 (2025) - (02 Mar - 07 Mar 2025)

  This Oberwolfach mini-workshop gathered mathematicians with an expertise in loop spaces, in order to discuss recent breakthrough results in this field, and the implications of these. A particular focus was given on recent ...

• 2510a - Mini-Workshop: Alcoved Polytopes in Physics and Optimization 

  [OWR-2025-12] Workshop Report 2025,12 (2025) - (02 Mar - 07 Mar 2025)

  An alcoved polytope is a polytope whose facet normal are all in direction of type $A$ roots. This fundamental class of polytopes has ample applications in for instance tropical geometry, statistics and algebra. ...

• 2509b - MATRIX-MFO Tandem Workshop: Nonlinear Geometric Diffusion Equations 

  [OWR-2025-11] Workshop Report 2025,11 (2025) - (23 Feb - 28 Feb 2025)

  This tandem workshop with MATRIX in Creswick, Australia, brought together leading experts from the fields of geometric partial differential equations and geometric analysis in general. The focus of the workshop ...

• 2509a - Data Assimilation: From Mathematical and Statistical Foundations to Applications 

  [OWR-2025-10] Workshop Report 2025,10 (2025) - (23 Feb - 28 Feb 2025)

  Data assimilation, where predictions from a dynamical system are updated sequentially based on new and incomplete observations, is increasingly finding applications in many areas of science and technology. This workshop ...

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