Oberwolfach Reports: Recent submissions

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    • 1712 - Statistical Recovery of Discrete, Geometric and Invariant Structures 

      [OWR-2017-16] Workshop Report 2017,16 (2017) - (19 Mar - 25 Mar 2017)
      The main objective of the workshop was to bring together researchers in mathematical statistics and related areas in order to discuss recent advances and problems associated with statistical recovery of geometric and ...

    • 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 ...

    • 1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization 

      [OWR-2017-14] Workshop Report 2017,14 (2017) - (05 Mar - 11 Mar 2017)
      Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ...

    • 1709 - Mathematics of Quantitative Finance 

      [OWR-2017-13] Workshop Report 2017,13 (2017) - (26 Feb - 04 Mar 2017)
      The workshop on Mathematics of Quantitative Finance, organised at the Mathematisches Forschungsinstitut Oberwolfach from 26 February to 4 March 2017, focused on cutting edge areas of mathematical finance, with an emphasis ...

    • 1708 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2017-12] Workshop Report 2017,12 (2017) - (19 Feb - 25 Feb 2017)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 1707 - Set Theory 

      [OWR-2017-11] Workshop Report 2017,11 (2017) - (12 Feb - 18 Feb 2017)
      This workshop included selected talks on pure set theory and its applications, simultaneously showing diversity and coherence of the subject.

    • 1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity 

      [OWR-2017-10] Workshop Report 2017,10 (2017) - (05 Feb - 11 Feb 2017)
      Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ...

    • 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, ...

    • 1706b - Mini-Workshop: Stochastic Differential Equations: Regularity and Numerical Analysis in Finite and Infinite Dimensions 

      [OWR-2017-9] Workshop Report 2017,9 (2017) - (05 Feb - 11 Feb 2017)
      This Mini-Workshop is devoted to regularity and numerical analysis of stochastic ordinary and partial differential equations (SDEs for both). The standard assumption in the literature on SDEs is global Lipschitz continuity ...

    • 1705 - Applications of Optimal Transportation in the Natural Sciences 

      [OWR-2017-7] Workshop Report 2017,7 (2017) - (29 Jan - 04 Feb 2017)
      The aim of this workshop was to gather a mixed group of experts and young researchers from different areas of applied mathematics in which optimal transport plays a central role. Applications in one of the classical areas ...

    • 1704 - Emerging Developments in Interfaces and Free Boundaries 

      [OWR-2017-6] Workshop Report 2017,6 (2017) - (22 Jan - 28 Jan 2017)
      The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop ...

    • 1703 - Cryptography 

      [OWR-2017-5] Workshop Report 2017,5 (2017) - (15 Jan - 21 Jan 2017)
      The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ...

    • 1702c - Mini-Workshop: Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs 

      [OWR-2017-4] Workshop Report 2017,4 (2017) - (08 Jan - 14 Jan 2017)
      Optimization problems constrained by time-dependent PDEs (Partial Differential Equations) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...

    • 1702a - Mini-Workshop: Women in Mathematics: Historical and Modern Perspectives 

      [OWR-2017-2] Workshop Report 2017,2 (2017) - (08 Jan - 14 Jan 2017)
      The aim of the workshop is to build a bridge between research on the situation of women in mathematics at the beginning of coeducative studies and the current circumstances in academia. The issue of women in mathematics ...

    • 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 ...

    • 1701 - Combinatorics 

      [OWR-2017-1] Workshop Report 2017,1 (2017) - (01 Jan - 07 Jan 2017)
      Combinatorics is a fundamental mathematical discipline that focuses on the study of discrete objects and their properties. The present workshop featured research in such diverse areas as Extremal, Probabilistic and Algebraic ...

    • 1651a - Mini-Workshop: New Interactions between Homotopical Algebra and Quantum Field Theory 

      [OWR-2016-58] Workshop Report 2016,58 (2016) - (18 Dec - 23 Dec 2016)
      Recent developments in quantum field theory strongly call for techniques from homotopical algebra to develop the mathematical foundations of quantum gauge theories. This mini-workshop brought together experts working at ...

    • 1651c - Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations 

      [OWR-2016-60] Workshop Report 2016,60 (2016) - (18 Dec - 23 Dec 2016)
      New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered ...

    • 1651b - Mini-Workshop: Max Dehn: his Life, Work, and Influence 

      [OWR-2016-59] Workshop Report 2016,59 (2016) - (18 Dec - 23 Dec 2016)
      This mini-workshop is part of a long-term project that aims to produce a book documenting Max Dehn’s singular life and career. The meeting brought together scholars with various kinds of expertise, several of whom gave ...

    • 1650 - Asymptotic Phenomena in Local Algebra and Singularity Theory 

      [OWR-2016-57] Workshop Report 2016,57 (2016) - (11 Dec - 17 Dec 2016)
      The goal of this workshop was to highlight, and further, the interactions between local algebra and singularity theory. The timing was serendipitous for both subjects have witnessed tremendous progress recently, much of ...