• 1539 - The Mathematics and Statistics of Quantitative Risk Management 

      [OWR-2015-42] (2015) - (20 Sep - 26 Sep 2015)
      It was the aim of this workshop to gather a multidisclipinary and international group of scientists at the forefront of research in econometrics, financial time series analysis, extreme value theory, financial mathematics, ...
    • 1549 - Geometric Partial Differential Equations: Surface and Bulk Processes 

      [OWR-2015-55] (2015) - (29 Nov - 05 Dec 2015)
      The workshop brought together experts representing a wide range of topics in geometric partial differential equations ranging from analyis over numerical simulation to real-life applications. The main themes of the conference ...
    • Friezes and tilings 

      [SNAP-2015-004-EN] Holm, Thorsten (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      Friezes have occured as architectural ornaments for many centuries. In this snapshot, we consider the mathematical analogue of friezes as introduced in the 1970s by Conway and Coxeter. Recently, infinite versions of such ...
    • 1542 - Computational Geometric and Algebraic Topology 

      [OWR-2015-45] (2015) - (11 Oct - 17 Oct 2015)
      Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology. It draws on a wide variety of techniques ...
    • Modeling communication and movement: from cells to animals and humans 

      [SNAP-2015-006-EN] Eftimie, Raluca (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      Communication forms the basis of biological interactions. While the use of a single communication mechanism (for example visual communication) by a species is quite well understood, in nature the majority of species ...
    • Special values of zeta functions and areas of triangles 

      [SNAP-2015-010-EN] Kramer, Jürg; Pippich, Anna-Maria von (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      In this snapshot we give a glimpse of the interplay of special values of zeta functions and volumes of triangles. Special values of zeta functions and their generalizations arise in the computation of volumes of moduli ...
    • 1545c - Mini-Workshop: Recent Developments on Approximation Methods for Controlled Evolution Equations 

      [OWR-2015-50] (2015) - (01 Nov - 07 Nov 2015)
      This mini-workshop brought together mathematicians engaged in partial differential equations, functional analysis, numerical analysis and systems theory in order to address a number of current problems in the approximation ...
    • Quantum diffusion 

      [SNAP-2015-014-EN] Knowles, Antti (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      If you place a drop of ink into a glass of water, the ink will slowly dissipate into the surrounding water until it is perfectly mixed. If you record your experiment with a camera and play the film backwards, you will see ...
    • 1504 - Geometric Topology 

      [OWR-2015-3] (2015) - (18 Jan - 24 Jan 2015)
      Geometric topology has seen significant advances in the understanding and application of infinite symmetries and of the principles behind them. On the one hand, for advances in (geometric) group theory, tools from algebraic ...
    • A nested family of k-total effective rewards for positional games 

      [OWP-2015-21] Boros, Endre; Elbassioni, Khaled; Gurvich, Vladimir; Makino, Kazuhisa (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      We consider Gillette's two-person zero-sum stochastic games with perfect information. For each $k \in \mathbb{Z}_+$ we introduce an effective reward function, called $k$-total. For $k = 0$ and $1$ this function is known ...
    • 1525 - Noncommutative Geometry 

      [OWR-2015-29] (2015) - (14 Jun - 20 Jun 2015)
      These reports contain an account of 2015’s meeting on noncommutative geometry. Noncommutative geometry has developed itself over the years to a completely new branch of mathematics shedding light on many other areas as ...
    • 1529 - Mathematical Aspects of General Relativity 

      [OWR-2015-33] (2015) - (12 Jul - 18 Jul 2015)
      The general theory of relativity is a remarkably accurate theory of gravitation, describing phenomena from the level of isolated bodies to the universe as a whole. The mathematical study of this theory leads to fascinating ...
    • Moduli Spaces of Riemannian Metrics 

      [OWS-46] Tuschmann, Wilderich; Wraith, David J. (Birkhäuser Basel, 2015)
      This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature ...
    • Zero-dimensional symmetry 

      [SNAP-2015-003-EN] Willis, George (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      This snapshot is about zero-dimensional symmetry. Thanks to recent discoveries we now understand such symmetry better than previously imagined possible. While still far from complete, a picture of zero-dimensional symmetry ...
    • Chaos and chaotic fluid mixing 

      [SNAP-2015-005-EN] Solomon, Tom (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      Very simple mathematical equations can give rise to surprisingly complicated, chaotic dynamics, with behavior that is sensitive to small deviations in the initial conditions. We illustrate this with a single recurrence ...
    • 1535 - Reductions of Shimura Varieties 

      [OWR-2015-39] (2015) - (23 Aug - 29 Aug 2015)
      The aim of this workshop was to discuss recent developments in the theory of reductions of Shimura varieties and related topics. The talks presented new methods and results that intertwine a multitude of topics such as ...
    • 1505 - Geometric Methods of Complex Analysis 

      [OWR-2015-4] (2015) - (25 Jan - 31 Jan 2015)
      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 ...
    • 1534 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2015-38] (2015) - (16 Aug - 22 Aug 2015)
      Efficiently analyzing functions, in particular multivariate functions, is a key problem in applied mathematics. The area of applied harmonic analysis has a significant impact on this problem by providing methodologies both ...
    • 1546c - Mini-Workshop: Scales in Plasticity 

      [OWR-2015-53] (2015) - (08 Nov - 14 Nov 2015)
      This mini-workshop was devoted to the current state of our understanding of dislocations (essentially slips of lines of atoms in a crystalline solid) and of their impact on the macroscopic behavior of those solids.
    • 1518 - Tropical Aspects in Geometry, Topology and Physics 

      [OWR-2015-23] (2015) - (26 Apr - 02 May 2015)
      The workshop Tropical Aspects in Geometry, Topology and Physics was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject. The development of ...