• 1815 - Challenges in Optimal Control of Nonlinear PDE-Systems 

      [OWR-2018-16] (2018) - (08 Apr - 14 Apr 2018)
      The workshop focussed on various aspects of optimal control problems for systems of nonlinear partial differential equations. In particular, discussions around keynote presentations in the areas of optimal control of ...
    • 2107 - Challenges in Optimization with Complex PDE-Systems (hybrid meeting) 

      [OWR-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 ...
    • 0935 - Challenges in Statistical Theory: Complex Data Structures and Algorithmic Optimization 

      [OWR-2009-39] (2009) - (23 Aug - 29 Aug 2009)
      Technological developments have created a constant incoming stream of complex new data structures that need analysis. Modern statistics therefore means mathematically sophisticated new statistical theory that generates or ...
    • 0846 - Combinatorial Optimization 

      [OWR-2008-51] (2008) - (09 Nov - 15 Nov 2008)
    • 1446 - Combinatorial Optimization 

      [OWR-2014-51] (2014) - (09 Nov - 15 Nov 2014)
      Combinatorial Optimization is an area of mathematics that thrives from a continual influx of new questions and problems from practice. Attacking these problems has required the development and combination of ideas and ...
    • 1146 - Combinatorial Optimization 

      [OWR-2011-53] (2011) - (13 Nov - 19 Nov 2011)
      Combinatorial Optimization is a very active field that benefits from bringing together ideas from different areas, e.g., graph theory and combinatorics, matroids and submodularity, connectivity and network flows, approximation ...
    • 1845 - Combinatorial Optimization 

      [OWR-2018-50] (2018) - (04 Nov - 10 Nov 2018)
      Combinatorial Optimization is an active research area that developed from the rich interaction among many mathematical areas, including combinatorics, graph theory, geometry, optimization, probability, theoretical computer ...
    • 0545 - Combinatorial Optimization 

      [OWR-2005-50] (2005) - (06 Nov - 12 Nov 2005)
      This report summarizes the meeting on Combinatorial Optimization where new and promising developments in the field were discussed. The
    • 2145 - Combinatorial Optimization (hybrid meeting) 

      [OWR-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 ...
    • 2215b - Conic Linear Optimization for Computer-Assisted Proofs 

      [OWR-2022-20] (2022) - (10 Apr - 16 Apr 2022)
      From a mathematical perspective, optimization is the science of proving inequalities. In this sense, computational optimization is a method for computer-assisted proofs. Conic (linear) optimization is ...
    • 1209 - Control Theory: Mathematical Perspectives on Complex Networked Systems 

      [OWR-2012-12] (2012) - (26 Feb - 03 Mar 2012)
      Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Its range of applicability and its techniques evolve rapidly with ...
    • 1744b - Copositivity and Complete Positivity 

      [OWR-2017-52] (2017) - (29 Oct - 04 Nov 2017)
      A real matrix $A$ is called copositive if $x^TAx \ge 0$ holds for all $x \in \mathbb R^n_+$. A matrix $A$ is called completely positive if it can be factorized as $A = BB^T$ , where $B$ is an entrywise nonnegative matrix. ...
    • 1506 - Geometric and Algebraic Combinatorics 

      [OWR-2015-5] (2015) - (01 Feb - 07 Feb 2015)
      The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety ...
    • 1935 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2019-39] (2019) - (25 Aug - 31 Aug 2019)
      The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ...
    • 2140b - Geometry and Optimization in Quantum Information (hybrid meeting) 

      [OWR-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 ...
    • Infeasibility certificates for linear matrix inequalities 

      [OWP-2011-28] Klep, Igor; Schweighofer, Markus (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-25)
      Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ...
    • 1646 - Large Scale Stochastic Dynamics 

      [OWR-2016-54] (2016) - (13 Nov - 19 Nov 2016)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There were ...
    • Metric Algebraic Geometry 

      Breiding, Paul; Kohn, Kathlén; Sturmfels, Bernd (Birkhäuser Cham, 2024-02-27)
      Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric ...
    • 1606b - Mini-Workshop: Applied Koopmanism 

      [OWR-2016-7] (2016) - (07 Feb - 13 Feb 2016)
      Koopman and Perron–Frobenius operators are linear operators that encapsulate dynamics of nonlinear dynamical systems without loss of information. This is accomplished by embedding the dynamics into a larger infinite-dimensional ...
    • 2047c - Mini-Workshop: Computational Optimization on Manifolds (online meeting) 

      [OWR-2020-36] (2020) - (15 Nov - 21 Nov 2020)
      The goal of the mini-workshop was to study the geometry, algorithms and applications of unconstrained and constrained optimization problems posed on Riemannian manifolds. Focus topics included the geometry of particular ...