• 2451 - Convex Geometry and its Applications 

  [OWR-2024-58] Workshop Report 2024,58 (2024) - (15 Dec - 20 Dec 2024)

  The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDEs, linear programming and, increasingly, in the study ...

• 2450c - Mini-Workshop: Data-driven Modeling, Analysis, and Control of Dynamical Systems 

  [OWR-2024-57] Workshop Report 2024,57 (2024) - (08 Dec - 13 Dec 2024)

  With the rapid increase in data resources and computational power as well as the accompanying current trend to incorporate machine learning into existing methods, data-driven approaches for modelling, analysis, and control ...

• 2450b - Mini-Workshop: High-Dimensional Control Problems and Mean-Field Equations with Applications in Machine Learning 

  [OWR-2024-56] Workshop Report 2024,56 (2024) - (08 Dec - 13 Dec 2024)

  High-dimensional control problems and mean field equations have been of increased interest in recent years and novel numerical tools tackling the curse of dimensionality have been developed. These optimization tasks are ...

• 2450a - Mini-Workshop: Geometry of Random Fields and Random Walk Clusters: New Horizons 

  [OWR-2024-55] Workshop Report 2024,55 (2024) - (08 Dec - 13 Dec 2024)

  Critical phenomena represent a central theme in probability. Research has been going on for many decades and remains very active to date. Recently, models involving natural probabilistic objects such as random walks, loop ...

• 2449 - Representations of p-adic Groups 

  [OWR-2024-54] Workshop Report 2024,54 (2024) - (01 Dec - 06 Dec 2024)

  Representation theory of $p$-adic groups is a topic at a crossroads. It links among others to harmonic analysis, algebraic geometry, number theory, Lie theory, and homological algebra. The atomic objects in the theory ...

• 2447c - Mini-Workshop: Infinite-dimensional Kac-Moody Lie Algebras in Supergravity and M Theory 

  [OWR-2024-53] Workshop Report 2024,53 (2024) - (17 Nov - 22 Nov 2024)

  This mini-workshop explores the role played by infinite-dimensional Lie algebra of Kac-Moody type in supergravity and M theory. Deep conjectures about the role of affine, hyperbolic and other indefinite Kac-Moody algebras ...

• 2447b - Mini-Workshop: Critical Phenomena of the XY Model 

  [OWR-2024-52] Workshop Report 2024,52 (2024) - (17 Nov - 22 Nov 2024)

  This mini-workshop focused on recent advances in probability theory concerned with the critical phenomena of the XY model and other related spin systems. There were 18 participants, all working at the forefront of this ...

• 2447a - Mini-Workshop: Mixing Times in the Kardar-Parisi-Zhang Universality Class 

  [OWR-2024-51] Workshop Report 2024,51 (2024) - (17 Nov - 22 Nov 2024)

  The workshop covered new developments in the Kardar-Parisi-Zhang (KPZ) class of growth models and markov chain mixing, broadened by talks on random dimers, matrices and parking functions. Mixing is often related ...

• 2446 - Combinatorial Optimization 

  [OWR-2024-50] Workshop Report 2024,50 (2024) - (10 Nov - 15 Nov 2024)

  Combinatorial optimization deals with optimization problems defined on polyhedral constraints or discrete structures such as graphs and networks. In the past thirty years the topic has developed into a rich mathematical ...

• 2445 - Directions in Rough Analysis 

  [OWR-2024-49] Workshop Report 2024,49 (2024) - (03 Nov - 08 Nov 2024)

  Rough path theory emerged in the 1990s and was developed in the 2000s as an improved approach to understanding the interaction of complex random systems. As a broader alternative to stochastic calculus, it simultaneously settled ...

• 2444 - Deep Learning for PDE-based Inverse Problems 

  [OWR-2024-48] Workshop Report 2024,48 (2024) - (27 Oct - 01 Nov 2024)

  Analysing learned concepts for PDE-based parameter identification problems requires input from different research areas such as inverse problems, partial differential equations, statistics and mathematical foundations ...

• 2442 - Arbeitsgemeinschaft: Algebraic K-Theory and the Telescope Conjecture 

  [OWR-2024-47] Workshop Report 2024,47 (2024) - (13 Oct - 18 Oct 2024)

  The telescope conjecture, first formulated by Ravenel in the late 1970s, is a conjectural classification of smashing localizations of the stable homotopy category. Participants discussed interactions between such localizations ...

• 2441 - Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis 

  [OWR-2024-46] Workshop Report 2024,46 (2024) - (06 Oct - 11 Oct 2024)

  A pivotal algorithm in quantum signal processing represents a real-valued function as a specific entry in a product of $SU(2)$ matrices, where an argument matrix alternates with a sequence of coefficient matrices. Recently, ...

• 2440 - Anabelian Geometry and Representations of Fundamental Groups 

  [OWR-2024-45] Workshop Report 2024,45 (2024) - (29 Sep - 04 Oct 2024)

  The focus of the workshop was on recent developments in local systems in arithmetic geometry in the broad sense, including anabelian geo\-metry. The talks covered results in complex variations of Hodge structures, ...

• 2439b - MFO-RIMS Tandem Workshop: Algebraic Geometry and Noncommutative Projective Varieties 

  [OWR-2024-44] Workshop Report 2024,44 (2024) - (22 Sep - 27 Sep 2024)

  The workshop focused on noncommutative projective varieties, and the role they play in algebraic geometry. The talks ranged from discussing noncommutative ring theory and the role derived categories play in the subject to ...

• 2439a - MATRIX-MFO Tandem Workshop: Invariants in Low-Dimensional Topology: Combinatorics, Geometry, and Computation 

  [OWR-2024-43] Workshop Report 2024,43 (2024) - (22 Sep - 27 Sep 2024)

  The MATRIX-MFO tandem workshop addressed several research questions in low-dimensional topology and related areas. The format of the workshop consisted primarily of discussion sessions focusing on computable invariants ...

• 2438 - Recent Developments in Dirichlet Form Theory and Related Fields 

  [OWR-2024-42] Workshop Report 2024,42 (2024) - (15 Sep - 20 Sep 2024)

  Theory of Dirichlet forms is one of the main achievements in modern probability theory. It has numerous interactions with other areas of mathematics and sciences. The recent notable developments are its role in the study ...

• 2437 - Riemann Surfaces: Random, Flat, and Hyperbolic Geometry 

  [OWR-2024-41] Workshop Report 2024,41 (2024) - (08 Sep - 13 Sep 2024)

  This workshop brought together experts in Riemann surfaces from the point of view of hyperbolic geometry, experts on flat surfaces from the point of view of Teichmüller dynamics, and the combinatorics and probability ...

• 2436 - Explicit Methods in Number Theory 

  [OWR-2024-40] Workshop Report 2024,40 (2024) - (01 Sep - 06 Sep 2024)

  The workshop brought together people attacking key modern problems in number theory via techniques involving concrete or computable descriptions. Here, number theory was interpreted broadly, including algebraic and ...

• 2435 - Homotopical Algebra and Higher Structures 

  [OWR-2024-39] Workshop Report 2024,39 (2024) - (25 Aug - 30 Aug 2024)

  Homotopical algebra and higher category theory play an increasingly important role in pure mathematics, and higher methods have seen tremendous development in the last couple of decades. The talks delivered at the workshop ...

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