Browsing Oberwolfach Reports by Title
Now showing items 562-581 of 1107
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1611 - Mechanics of Materials: Mechanics of Interfaces and Evolving Microstructure
[OWR-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] (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] (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] (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] (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] (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] (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] (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] (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] (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 ... -
1050c - Mini-Workshop: Algebraic and Analytic Techniques for Polynomial Vector Fields
[OWR-2010-57] (2010) - (12 Dec - 18 Dec 2010)Polynomial vector fields are in the focus of research in various areas of mathematics and its applications. As a consequence, researchers from rather different disciplines work with polynomial vector fields. The main goal ... -
1946a - Mini-Workshop: Algebraic Tools for Solving the Yang–Baxter Equation
[OWR-2019-51] (2019) - (10 Nov - 16 Nov 2019)The workshop was focused on three facets of the interplay between set-theoretic solutions to the Yang--Baxter equation and classical algebraic structures (groups, monoids, algebras, lattices, racks etc.): structures used ... -
1840c - Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory
[OWR-2018-46] (2018) - (30 Sep - 06 Oct 2018)Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, ... -
2041c - Mini-Workshop: Almost Complex Geometry (online meeting)
[OWR-2020-33] (2020) - (04 Oct - 10 Oct 2020)The mini-workshop focused on very recent developments of analytic and algebraic techniques for studying almost complex structures which are not necessarily integrable. It provided a forum to discuss and compare techniques ... -
0421b - Mini-Workshop: Amalgams for Graphs and Geometries
[OWR-2004-25] (2004) - (16 May - 22 May 2004) -
0546b - Mini-Workshop: Analysis and Computation of Microstructures in Finite Plasticity
[OWR-2005-52] (2005) - (13 Nov - 19 Nov 2005)Plastic material behaviour is typically the result of the interaction of complex substructures on a microscopic scale. Common models of finite plasticity are based on macroscopic, phenomenological approaches and do not ... -
2119a - Mini-Workshop: Analysis of Data-driven Optimal Control (hybrid meeting)
[OWR-2021-23] (2021) - (09 May - 15 May 2021)This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and machine-learning approaches to optimal feedback control. The analysis concerned all aspects ... -
0508c - Mini-Workshop: Analytical and Numerical Methods in Image and Surface Processing
[OWR-2005-10] (2005) - (20 Feb - 26 Feb 2005)The workshop successfully brought together researchers from mathematical analysis, numerical mathematics, computer graphics and image processing. The focus was on variational methods in image and surface processing such ... -
0633c - Mini-Workshop: Anisotropic Motion Laws
[OWR-2006-38] (2006) - (13 Aug - 19 Aug 2006)Anisotropic motion laws play a key role in many applications ranging from materials science, biophysics to image processing. All these highly diversified disciplines have made it necessary to develop common mathematical ... -
1606b - Mini-Workshop: Applied Koopmanism
[OWR-2016-7] (2016) - (07 Feb - 13 Feb 2016)Koopman and Perron–Frobenius operators are linear operators that encapsulate dynamics of nonlinear dynamical systems without loss of information. This is accomplished by embedding the dynamics into a larger infinite-dimensional ...