• 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 ...
    • 2125 - Classical Algebraic Geometry (hybrid meeting) 

      [OWR-2021-29] Workshop Report 2021,29 (2021) - (20 Jun - 26 Jun 2021)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems in the development of the field. Examples include new invariants that capture some aspect of ...
    • 2145 - Combinatorial Optimization (hybrid meeting) 

      [OWR-2021-53] Workshop Report 2021,53 (2021) - (07 Nov - 13 Nov 2021)
      Combinatorial Optimization deals with optimization problems defined on combinatorial structures such as graphs and networks. Motivated by diverse practical problem setups, the topic has developed into a rich mathematical ...
    • 2146 - Complexity Theory (hybrid meeting) 

      [OWR-2021-54] Workshop Report 2021,54 (2021) - (14 Nov - 20 Nov 2021)
      Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various ...
    • 2117 - Computability Theory (hybrid meeting) 

      [OWR-2021-21] Workshop Report 2021,21 (2021) - (25 Apr - 01 May 2021)
      Over the last decade computability theory has seen many new and fascinating developments that have linked the subject much closer to other mathematical disciplines inside and outside of logic. This includes, for instance, ...
    • 2150 - Convex Geometry and its Applications (hybrid meeting) 

      [OWR-2021-59] Workshop Report 2021,59 (2021) - (12 Dec - 18 Dec 2021)
      The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of ...
    • 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 ...
    • 2124 - Enumerative Geometry of Surfaces (hybrid meeting) 

      [OWR-2021-28] Workshop Report 2021,28 (2021) - (13 Jun - 19 Jun 2021)
      The recent developments in hyperbolic geometry and flat geometry in real dimension $2$ formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by ...
    • 2144 - Enveloping Algebras and Geometric Representation Theory (hybrid meeting) 

      [OWR-2021-52] Workshop Report 2021,52 (2021) - (31 Oct - 06 Nov 2021)
      The workshop brought together experts investigating algebraic Lie theory from the geometric and categorical viewpoints.
    • 2118 - Foundations of Bayesian Inference for Complex Statistical Models (hybrid meeting) 

      [OWR-2021-22] Workshop Report 2021,22 (2021) - (02 May - 08 May 2021)
      In this virtual workshop a variety of recent developments in Bayesian high-dimensional and nonparametric statistics were discussed in depth. There were 12 in depth talks delivered via zoom in the afternoons (to allow for ...
    • 2120 - Geometric Methods of Complex Analysis (hybrid meeting) 

      [OWR-2021-25] Workshop Report 2021,25 (2021) - (16 May - 22 May 2021)
      The purpose of this workshop was to discuss recent results in Several Complex Variables, Complex Geometry and Complex Dynamical Systems with a special focus on the exchange of ideas and methods among these areas. The main ...
    • 2113 - Geometric Numerical Integration (hybrid meeting) 

      [OWR-2021-17] Workshop Report 2021,17 (2021) - (28 Mar - 03 Apr 2021)
      The topics of the workshop included interactions between geometric numerical integration and numerical partial differential equations; geometric aspects of stochastic differential equations; interaction with optimisation ...
    • 2140b - Geometry and Optimization in Quantum Information (hybrid meeting) 

      [OWR-2021-49] Workshop Report 2021,49 (2021) - (03 Oct - 09 Oct 2021)
      Quantum information theory seeks to understand the fundamental limits set by quantum mechanics for information processing tasks. The mathematical aspects of quantum information rely on tools from various fields including ...
    • 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 ...
    • 2101a - Homogeneous Structures: Model Theory meets Universal Algebra (online meeting) 

      [OWR-2021-1] Workshop Report 2021,1 (2021)
      The workshop "Homogeneous Structures: Model Theory meets Universal Algebra'' was centred around transferring recently obtained advances in universal algebra from the finite to the infinite. As it turns out, the notion ...
    • 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 ...
    • 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 ...
    • 2138 - Homotopical Algebra and Higher Structures (hybrid meeting) 

      [OWR-2021-46] Workshop Report 2021,46 (2021) - (19 Sep - 25 Sep 2021)
      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 ...
    • 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, ...
    • 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. ...