Browsing Oberwolfach Reports by Title

Now showing items 552-571 of 1107

    • 1450 - Mathematics in Undergraduate Study Programs: Challenges for Research and for the Dialogue between Mathematics and Didactics of Mathematics 

      [OWR-2014-56] Workshop Report 2014,56 (2014) - (07 Dec - 13 Dec 2014)
      The topic of undergraduate mathematics is of considerable concern for mathematicians in universities, but also for those teaching mathematics as part of undergraduate studies other than mathematics, for employers seeking ...

    • 0936 - Mathematics of Complex Quantum Systems 

      [OWR-2009-40] Workshop Report 2009,40 (2009) - (30 Aug - 05 Sep 2009)
      A mathematical physics workshop focusing on the mathematics of complex quantum systems was held at MFO in September 2009. The physcs topics covered included quantum chemistry, nonrelativistic QED, statistical mechanics, ...

    • 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 ...

    • 1825b - Matrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension 

      [OWR-2018-29] Workshop Report 2018,29 (2018) - (17 Jun - 23 Jun 2018)
      The study of complex relationships among the elements of a large collection of random variables lead to the development of a number of areas in probability and statistics such as probabilistic network analysis or random ...

    • 1336 - Matrix Factorizations in Algebra, Geometry, and Physics 

      [OWR-2013-44] Workshop Report 2013,44 (2013) - (01 Sep - 07 Sep 2013)
      Let $W$ be a polynomial or power series in several variables, or, more generally, a nonzero element in some regular commutative ring. A matrix factorization of $W$ consists of a pair of square matrices $X$ and $Y$ of the ...

    • 2136a - MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology (hybrid meeting) 

      [OWR-2021-42] Workshop Report 2021,42 (2021) - (05 Sep - 11 Sep 2021)
      The first ever MATRIX-MFO tandem workshop addressed several research questions in low-dimensional topology and related areas.

    • 2310a - MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs 

      [OWR-2023-12] Workshop Report 2023,12 (2023) - (05 Mar - 10 Mar 2023)
      Stochastic processes with reinforcement are the central theme of the present tandem workshop. We assembled a diverse group of international experts that worked on reinforcement dynamics from several different perspectives. ...

    • 1635 - Measured Group Theory 

      [OWR-2016-41] Workshop Report 2016,41 (2016) - (28 Aug - 03 Sep 2016)
      The workshop aimed to study discrete and Lie groups and their actions using measure theoretic methods and their asymptotic invariants, such as $\ell^2$-invariants, the rank gradient, cost, torsion growth, entropy-type ...

    • 1212 - Mechanics of Materials 

      [OWR-2012-15] Workshop Report 2012,15 (2012) - (18 Mar - 24 Mar 2012)
      The rapid advances of modern fabrications technologies require a thorough understanding of physical and mechanical properties of materials as influenced by their atomic composition, processing history and structure at the ...

    • 0604 - Mechanics of Materials 

      [OWR-2006-4] Workshop Report 2006,4 (2006) - (22 Jan - 28 Jan 2006)
      All up-to-date engineering applications of advanced multi-phase materials necessitate a concurrent design of materials (including composition, processing routes, microstructures and properties) with structural components. ...

    • 1611 - Mechanics of Materials: Mechanics of Interfaces and Evolving Microstructure 

      [OWR-2016-17] Workshop Report 2016,17 (2016) - (13 Mar - 19 Mar 2016)
      Emphasis in modern day efforts in mechanics of materials is increasingly directed towards integration with computational materials science, which itself rests on solid physical and mathematical foundations in thermodynamics ...

    • 2011 - Mechanics of Materials: Towards Predictive Methods for Kinetics in Plasticity, Fracture, and Damage 

      [OWR-2020-13] Workshop Report 2020,13 (2020) - (08 Mar - 14 Mar 2020)
      The workshop dealt with current advances of computational methods, mathematics and continuum mechanics directed at thermodynamically consistent forms of constitutive equations for complex evolutionary phenomena in modern ...

    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)
      This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...

    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] Workshop Report 2022,15 (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...

    • 2136b - MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties (hybrid meeting) 

      [OWR-2021-43] Workshop Report 2021,43 (2021) - (05 Sep - 11 Sep 2021)
      The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of ...

    • 1011 - Microstructures in Solids: From Quantum Models to Continua 

      [OWR-2010-14] Workshop Report 2010,14 (2010) - (14 Mar - 20 Mar 2010)
      The mathematical theory of solids was studied from the modern perspective of materials with microcstructures. The discussed topics ranged from experimental findings, via numerical simulations and mathematical modeling to ...

    • 2149a - Mini-Workshop: (Anosov)$^3$ (hybrid meeting) 

      [OWR-2021-56] Workshop Report 2021,56 (2021) - (05 Dec - 11 Dec 2021)
      Three different active fields are subsumed under the keyword Anosov theory: Spectral theory of Anosov flows, dynamical rigidity of Anosov actions, and Anosov representations. In all three fields there have been dynamic ...

    • 1050a - Mini-Workshop: 1-Motives 

      [OWR-2010-55] Workshop Report 2010,55 (2010) - (12 Dec - 18 Dec 2010)
      One-motives were introduced by Deligne in 1974 [10], as a generalization of the theory of semiabelian varieties. Viewed today, after Voevodsky’s theory of mixed motives [31], it can be understood as motives of level ≤ 1. ...

    • 2248b - Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit 

      [OWR-2022-53] Workshop Report 2022,53 (2022) - (27 Nov - 03 Dec 2022)
      In many situations, most prominently in quantum mechanics, it is important to understand well the eigenvalues and associated eigenfunctions of certain self-adjoint differential operators. The goal of this workshop was ...

    • 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 ...