• 1722 - Stochastic Analysis: Geometry of Random Processes 

      [OWR-2017-26] Workshop Report 2017,26 (2017) - (28 May - 03 Jun 2017)
      A common feature shared by many natural objects arising in probability theory is that they tend to be very “rough”, as opposed to the “smooth” objects usually studied in other branches of mathematics. It is however still ...
    • 1721 - Harmonic Analysis and the Trace Formula 

      [OWR-2017-25] Workshop Report 2017,25 (2017) - (21 May - 27 May 2017)
      The purpose of this workshop was to discuss recent results in harmonic analysis that arise in the study of the trace formula. This theme is common to different directions of research on automorphic forms such as representation ...
    • 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] Workshop Report 2017,36 (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...
    • 1729 - Material Theories 

      [OWR-2017-33] Workshop Report 2017,33 (2017) - (16 Jul - 22 Jul 2017)
      Material theories is a series of workshops concerned with a broad range of topics related to the mechanics and mathematics of materials. As such, this edition brought together researchers from diverse fields converging ...
    • 1725b - Nonlinear Partial Differential Equations on Graphs 

      [OWR-2017-29] Workshop Report 2017,29 (2017) - (18 Jun - 24 Jun 2017)
      One-dimensional metric graphs in two and three-dimensional spaces play an important role in emerging areas of modern science such as nano-technology, quantum physics, and biological networks. The workshop focused on the ...
    • 1720 - Computational Inverse Problems for Partial Differential Equations 

      [OWR-2017-24] Workshop Report 2017,24 (2017) - (14 May - 20 May 2017)
      The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may ...
    • 1746 - Variational Methods for Evolution 

      [OWR-2017-54] Workshop Report 2017,54 (2017) - (12 Nov - 18 Nov 2017)
      Many evolutionary systems, as for example gradient flows or Hamiltonian systems, can be formulated in terms of variational principles or can be approximated using time-incremental minimization. Hence they can be studied ...
    • 1706a - Mini-Workshop: Cluster Expansions: From Combinatorics to Analysis through Probability 

      [OWR-2017-8] Workshop Report 2017,8 (2017) - (05 Feb - 11 Feb 2017)
      The workshop addressed the interplay between theory and applications of cluster expansions. These expansions, historically geared towards the study of systems in statistical mechanics, thermodynamics, and physical chemistry, ...
    • 1702b - Mini-Workshop: Spaces and Moduli Spaces of Riemannian Metrics 

      [OWR-2017-3] Workshop Report 2017,3 (2017) - (08 Jan - 14 Jan 2017)
      The mini-workshop focused on central questions and new results concerning spaces and moduli spaces of Riemannian metrics with lower or upper curvature bounds on open and closed manifolds and, moreover, related themes from ...
    • 1730 - Real Analysis, Harmonic Analysis, and Applications 

      [OWR-2017-34] Workshop Report 2017,34 (2017) - (23 Jul - 29 Jul 2017)
      The workshop focused on important developments within the last few years in real and harmonic analysis, including polynomial partitioning and decoupling as well as significant concurrent progress in the application of these ...
    • 1745 - Mathematical Logic: Proof Theory, Constructive Mathematics 

      [OWR-2017-53] Workshop Report 2017,53 (2017) - (05 Nov - 11 Nov 2017)
      The workshop “Mathematical Logic: Proof Theory, Constructive Mathematics” was centered around proof-theoretic aspects of core mathematics and theoretical computer science as well as homotopy type theory and logical aspects ...
    • 1731 - Partial Differential Equations 

      [OWR-2017-35] Workshop Report 2017,35 (2017) - (30 Jul - 05 Aug 2017)
      The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as minimal surfaces and geometric measure theory, conformal geometry, geometric ...
    • 1744a - Interplay between Number Theory and Analysis for Dirichlet Series 

      [OWR-2017-51] Workshop Report 2017,51 (2017) - (29 Oct - 04 Nov 2017)
      In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional ...
    • 1738b - Mini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton-Okounkov Bodies 

      [OWR-2017-43] Workshop Report 2017,43 (2017) - (17 Sep - 23 Sep 2017)
      There are several flavors of positivity in Algebraic Geometry. They range from conditions that determine vanishing of cohomology, to intersection theoretic properties, and to convex geometry. They offer excellent invariants ...
    • 1715 - Discrete Geometry 

      [OWR-2017-19] Workshop Report 2017,19 (2017) - (09 Apr - 15 Apr 2017)
      A number of important recent developments in various branches of discrete geometry were presented at the workshop. The presentations illustrated both the diversity of the area and its strong connections to other fields of ...
    • 1718 - O-Minimality and its Applications to Number Theory and Analysis 

      [OWR-2017-22] Workshop Report 2017,22 (2017) - (30 Apr - 06 May 2017)
      The workshop brought together researchers in the areas of o-minimal structures, analysis and number theory. The latest developments in o-minimality and their applications to number theory and analysis were presented in a ...
    • 1744b - Copositivity and Complete Positivity 

      [OWR-2017-52] Workshop Report 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. ...
    • 1711 - Space-time Methods for Time-dependent Partial Differential Equations 

      [OWR-2017-15] Workshop Report 2017,15 (2017) - (12 Mar - 18 Mar 2017)
      Modern discretizations of time-dependent PDEs consider the full problem in the space-time cylinder and aim to overcome limitations of classical approaches such as the method of lines (first discretize in space and then ...
    • 1739 - Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces 

      [OWR-2017-45] Workshop Report 2017,45 (2017) - (24 Sep - 30 Sep 2017)
      The workshop covered a number of active areas of research in algebraic geometry with a focus on derived categories, moduli spaces (of varieties and sheaves) and birational geometry (often in positive characteristic) and ...
    • 1724 - Nonlinear Waves and Dispersive Equations 

      [OWR-2017-27] Workshop Report 2017,27 (2017) - (11 Jun - 17 Jun 2017)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide ...