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    • 1751 - Mathematical Instruments between Material Artifacts and Ideal Machines: Their Scientific and Social Role before 1950 

      [OWR-2017-58] Workshop Report 2017,58 (2017) - (17 Dec - 23 Dec 2017)
      Since 1950, mathematicians have become increasingly familiar with the digital computer in their professional practice. Previously, however, many other instruments, now mostly forgotten, were commonly used to compute numerical ...
    • 1750 - Network Models: Structure and Function 

      [OWR-2017-57] Workshop Report 2017,57 (2017) - (10 Dec - 16 Dec 2017)
      The focus of the meeting was on the mathematical analysis of complex networks, both on how networks emerge through microscopic interaction rules as well as on dynamic processes and optimization problems on networks, including ...
    • 1749 - Classical and Quantum Mechanical Models of Many-Particle Systems 

      [OWR-2017-56] Workshop Report 2017,56 (2017) - (03 Dec - 09 Dec 2017)
      This workshop was dedicated to the presentation of recent results in the field of the mathematical study of kinetic theory and its naturalextensions (statistical physics and fluid mechanics). The main models are the ...
    • 1748 - Reflection Positivity 

      [OWR-2017-55] Workshop Report 2017,55 (2017) - (26 Nov - 02 Dec 2017)
      The main theme of the workshop was reflection positivity and its occurences in various areas of mathematics and physics, such as Representation Theory, Quantum Field Theory, Noncommutative Geometry, Dynamical Systems, ...
    • 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 ...
    • 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 ...
    • 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. ...
    • 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 ...
    • 1743b - Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures 

      [OWR-2017-49] Workshop Report 2017,49 (2017) - (22 Oct - 28 Oct 2017)
      Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda. Recent work has indicated a strong (but not equivalent) relationship ...
    • 1743a - Mini-Workshop: PDE Models of Motility and Invasion in Active Biosystems 

      [OWR-2017-48] Workshop Report 2017,48 (2017) - (22 Oct - 28 Oct 2017)
      Cell migration is crucial for the development and functioning of multicellular organisms; it plays an essential role in, e.g., morphogenesis, immune system dynamics, wound healing, angiogenesis, bacterial motion and biofilm ...
    • 1743c - Mini-Workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry 

      [OWR-2017-50] Workshop Report 2017,50 (2017) - (22 Oct - 28 Oct 2017)
      Recent developments exhibit a strong connection between low-dimensional topology and complex algebraic geometry. A common theme is provided by the Alexander polynomial and its many avatars. The mini-Workshop brought together ...
    • 1741 - Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry 

      [OWR-2017-47] Workshop Report 2017,47 (2017) - (08 Oct - 13 Oct 2017)
      The aim of the workshop was to survey recent developments in fractal geometry, specifically those related to projections and slices of planar self-similar sets, and dimension and absolute continuity of self-similar measures ...
    • 1740 - Spectral Structures and Topological Methods in Mathematical Quasicrystals 

      [OWR-2017-46] Workshop Report 2017,46 (2017) - (01 Oct - 07 Oct 2017)
      The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, harmonic analysis and mathematical physics, and developed rapidly after the discovery of real world quasicrystals in 1982 ...
    • 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 ...
    • 1738c - Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications 

      [OWR-2017-44] Workshop Report 2017,44 (2017) - (17 Sep - 23 Sep 2017)
      Lattice polytopes arise naturally in many different branches of pure and applied mathematics such as number theory, commutative algebra, combinatorics, toric geometry, optimization, and mirror symmetry. The miniworkshop ...
    • 1738a - Mini-Workshop: MASAs and Automorphisms of C*-Algebras 

      [OWR-2017-42] Workshop Report 2017,42 (2017) - (17 Sep - 23 Sep 2017)
      The main aim of this workshop was to study maximal abelian *-subalgebras of C*-algebras from various points of view. A chief motivation is the UCT problem, which asks whether all separable nuclear C*-algebras satisfy the ...
    • 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 ...
    • 1737 - Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications 

      [OWR-2017-41] Workshop Report 2017,41 (2017) - (10 Sep - 16 Sep 2017)
      Quantum field theory (QFT) may be considered one of the most fundamental frameworks of theoretical physics. Quantum Electrodynamics (QED) is the part of QFT that describes the interaction between matter and light. Although ...
    • 1736 - Automorphic Forms and Arithmetic 

      [OWR-2017-40] Workshop Report 2017,40 (2017) - (03 Sep - 09 Sep 2017)
      The workshop brought together leading experts and young researchers at the interface of automorphic forms and analytic number theory to disseminate, discuss and develop important recent methods and results. A particular ...
    • 1735 - Komplexe Analysis 

      [OWR-2017-39] Workshop Report 2017,39 (2017) - (27 Aug - 02 Sep 2017)
      Complex Analysis is a very active branch of mathematics. The aim of this workshop was to discuss recent developments in several complex variables and complex geometry. Topics included singular Kähler–Einstein metrics, ...