• 2112 - Mathematical Foundations of Machine Learning (hybrid meeting) 

  [OWR-2021-15] Workshop Report 2021,15 (2021) - (21 Mar - 27 Mar 2021)

  Machine learning has achieved remarkable successes in various applications, but there is wide agreement that a mathematical theory for deep learning is missing. Recently, some first mathematical results have been derived ...

• 2112a - Small Collaboration: Numerical Analysis of Electromagnetic Problems (hybrid meeting) 

  [OWR-2021-16] Workshop Report 2021,16 (2021) - (21 Mar - 27 Mar 2021)

  The classical theory of electromagnetism describes the interaction of electrically charged particles through electromagnetic forces, which are carried by the electric and magnetic fields. The propagation of the electromagnetic ...

• 2103 - Spatial Networks and Percolation (hybrid meeting) 

  [OWR-2021-4] Workshop Report 2021,4 (2021) - (17 Jan - 23 Jan 2021)

  The classical percolation problem is to find whether there is an infinite connected component in a random set created by removing edges from a $d$-dimensional lattice, independently at random. Since its introduction into ...

• 2111 - Homogenization Theory: Periodic and Beyond (online meeting) 

  [OWR-2021-14] Workshop Report 2021,14 (2021) - (14 Mar - 20 Mar 2021)

  The objective of the workshop has been to review the latest developments in homogenization theory for a large category of equations and settings arising in the modeling of solid, fluids, wave propagation, heterogeneous ...

• 2108 - Applications of Optimal Transportation in the Natural Sciences (online meeting) 

  [OWR-2021-10] Workshop Report 2021,10 (2021) - (21 Feb - 27 Feb 2021)

  Concepts and methods from the mathematical theory of optimal transportation have reached significant importance in various fields of the natural sciences. The view on classical problems from a "transport perspective'' ...

• 2110a - Homotopic and Geometric Galois Theory (online meeting) 

  [OWR-2021-12] Workshop Report 2021,12 (2021) - (07 Mar - 13 Mar 2021)

  In his "Letter to Faltings'', Grothendieck lays the foundation of what will become part of his multi-faceted legacy to arithmetic geometry. This includes the following three branches discussed in the workshop: the arithmetic ...

• 2110b - Deep Learning for Inverse Problems (hybrid meeting) 

  [OWR-2021-13] Workshop Report 2021,13 (2021) - (07 Mar - 13 Mar 2021)

  Machine learning and in particular deep learning offer several data-driven methods to amend the typical shortcomings of purely analytical approaches. The mathematical research on these combined models is presently exploding ...

• 2050a - New Directions in Rough Path Theory (online meeting) 

  [OWR-2020-40] Workshop Report 2020,40 (2020) - (06 Dec - 12 Dec 2020)

  Rough path theory emerged as novel approach for dealing with interactions in complex random systems. It settled significant questions and provided an effective deterministic alternative to Itô calculus, itself a major ...

• 2104 - Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting) 

  [OWR-2021-5] Workshop Report 2021,5 (2021) - (24 Jan - 30 Jan 2021)

  The central topic of the workshop was the notion of logarithmic vector fields along a divisor in a smooth complex analytic or algebraic variety, i.e., the vector fields on the ambient variety tangent to the divisor. ...

• 2109 - Hyperbolic Balance Laws: modeling, analysis, and numerics (hybrid meeting) 

  [OWR-2021-11] Workshop Report 2021,11 (2021) - (28 Feb - 06 Mar 2021)

  This workshop brought together leading experts, as well as the most promising young researchers, working on nonlinear hyperbolic balance laws. The meeting focused on addressing new cutting-edge research in modeling, ...

• 2107 - Challenges in Optimization with Complex PDE-Systems (hybrid meeting) 

  [OWR-2021-9] Workshop Report 2021,9 (2021) - (14 Feb - 20 Feb 2021)

  The workshop concentrated on various aspects of optimization problems with systems of nonlinear partial differential equations (PDEs) or variational inequalities (VIs) as constraints. In particular, discussions around ...

• 2106a - Mini-Workshop: Non-semisimple Tensor Categories and Their Semisimplification (online meeting) 

  [OWR-2021-7] Workshop Report 2021,7 (2021) - (07 Feb - 13 Feb 2021)

  Finite tensor categories are, despite their many applications and great interest, notoriously hard to classify. Among them, the semisimple ones (called fusion categories) have been intensively studied. Those with ...

• 2106c - Mini-Workshop: Nonpositively Curved Complexes (online meeting) 

  [OWR-2021-8] Workshop Report 2021,8 (2021) - (07 Feb - 13 Feb 2021)

  The leading theme of the meeting was to understand nonpositively curved complexes and groups acting on them. Motivations, questions, results, and techniques being presented and discussed come from various areas of ...

• 2105 - Moduli spaces and Modular forms (hybrid meeting) 

  [OWR-2021-6] Workshop Report 2021,6 (2021) - (31 Jan - 06 Feb 2021)

  The relation between moduli spaces and modular forms goes back to the theory of elliptic curves. On the one hand both topics experience their own growth and development, but from time to time new unexpected links show ...

• 2048c - Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings (hybrid meeting) 

  [OWR-2020-37] Workshop Report 2020,37 (2020) - (22 Nov - 28 Nov 2020)

  Both self-avoidance and self-contact of geometric objects can be modeled using repulsive energies that separate isotopy classes. Giving rise to nonlocal operators, they are interesting objects in their own right. Moreover, ...

• 2051 - History of Mathematics: A Global Cultural Approach (online meeting) 

  [OWR-2020-41] Workshop Report 2020,41 (2020) - (13 Dec - 19 Dec 2020)

  The primary purpose of this workshop was to take account of progress on an ongoing six-volume cultural history of mathematics from antiquity to the present. This project is led by nine editors working with a large team of ...

• 2037b - Structure-Preserving Discretizations for Nonlinear Systems of 

  [OWR-2020-28] Workshop Report 2020,28 (2020) - (06 Sep - 12 Sep 2020)

  Because of the pandemia, the workshop on ``Structure-Preserving Discretizations for Nonlinear Systems of Hyperbolic, Involution-Constrained Partial Differential Equations on Manifolds" could not be realized in the usual ...

• 2101b - Geometry, Dynamics and Spectrum of Operators on Discrete Spaces (online meeting) 

  [OWR-2021-2] Workshop Report 2021,2 (2021) - (03 Jan - 09 Jan 2021)

  Spectral theory is a gateway to fundamental insights in geometry and mathematical physics. In recent years the study of spectral problems in discrete spaces has gained enormous momentum. While there are some relations to ...

• 2102 - Nonstandard Finite Element Methods (hybrid meeting) 

  [OWR-2021-3] Workshop Report 2021,3 (2021) - (10 Jan - 16 Jan 2021)

  Finite element methodologies dominate the computational approaches for the solution to partial differential equations and nonstandard finite element schemes most urgently require mathematical insight in their design. The ...

• 2049 - Classical and Quantum Mechanical Models of Many-Particle Systems (online meeting) 

  [OWR-2020-38] Workshop Report 2020,38 (2020) - (29 Nov - 05 Dec 2020)

  The collective behaviour of many-particle systems is a common denominator in the challenges of a highly diverse range of applications: from classical problems in Physics (gas dynamics e.g. Boltzmann's equation, plas\-ma ...

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