Browsing 5 - Oberwolfach Reports (OWR) by Title

0637 - Singularities

[OWR-2006-42] Workshop Report 2006,42 (2006) - (10 Sep - 16 Sep 2006)

This is the report of the Oberwolfach Workshop on singularity theory held in september 2006. Singularity theory is concerned with the local structure of maps and spaces that occur in many situations in mathematics. It uses ...

2139 - Singularities (hybrid meeting)

[OWR-2021-47] Workshop Report 2021,47 (2021) - (26 Sep - 02 Oct 2021)

Singularity theory concerns local and global structure of singularities of (algebraic) varieties and maps. As such, it combines tools from algebraic geometry, complex analysis, topology, algebra and combinatorics.

0205 - Singularities and Concentration Phenomena in Nonlinear Elliptic and Parabolic PDE's

[TB-2002-4] Workshop Report 2002,4 (2002) - (27 Jan - 02 Feb 2002)

1907 - Singularities and Homological Aspects of Commutative Algebra

[OWR-2019-6] Workshop Report 2019,6 (2019) - (10 Feb - 16 Feb 2019)

Commutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid ...

1217b - Singularity Theory and Integrable Systems

[OWR-2012-23] Workshop Report 2012,23 (2012) - (22 Apr - 28 Apr 2012)

The workshop brought together three very different areas of mathematics, namely singularity theory, integrable systems and quantum cohomology. They are linked by their applications in topological quantum field theory and ...

2309a - Skew Braces and the Yang-Baxter Equation

[OWR-2023-9] Workshop Report 2023,9 (2023) - (26 Feb - 04 Mar 2023)

The workshop was focused on the interplay between set-theoretic solutions to the Yang-Baxter equation and several algebraic structures used to construct and understand new solutions. In this vein, the YBE and properties ...

2135a - Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting)

[OWR-2021-41] Workshop Report 2021,41 (2021) - (29 Aug - 04 Sep 2021)

This small collaborative workshop brought together experts from the Sino-German project working in the field of advanced numerical methods for hyperbolic balance laws. These are particularly important for compressible ...

2115a - Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations (hybrid meeting)

[OWR-2021-19] Workshop Report 2021,19 (2021) - (11 Apr - 17 Apr 2021)

Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, ...

2112a - Small Collaboration: Numerical Analysis of Electromagnetic Problems (hybrid meeting)

[OWR-2021-16] Workshop Report 2021,16 (2021) - (21 Mar - 27 Mar 2021)

The classical theory of electromagnetism describes the interaction of electrically charged particles through electromagnetic forces, which are carried by the electric and magnetic fields. The propagation of the electromagnetic ...

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 ...

2206 - Space-Time Methods for Time-Dependent Partial Differential Equations

[OWR-2022-6] Workshop Report 2022,6 (2022) - (06 Feb - 12 Feb 2022)

Modern discretization and solution methods for time-dependent PDEs consider the full problem in space and time simultaneously and aim to overcome limitations of classical approaches by first discretizing in space and ...

0009b - Sparse Approximation of Non-Local Operators

[TB-2000-10] Workshop Report 2000,10 (2000) - (27 Feb - 04 Mar 2000)

0912 - Sparse Recovery Problems in High Dimensions: Statistical Inference and Learning Theory

[OWR-2009-16] Workshop Report 2009,16 (2009) - (15 Mar - 21 Mar 2009)

The statistical analysis of high dimensional data requires new techniques, extending results from nonparametric statistics, analysis, probability, approximation theory, and theoretical computer science. The main problem ...

2103 - Spatial Networks and Percolation (hybrid meeting)

[OWR-2021-4] Workshop Report 2021,4 (2021) - (17 Jan - 23 Jan 2021)

The classical percolation problem is to find whether there is an infinite connected component in a random set created by removing edges from a

$d$ -dimensional lattice, independently at random. Since its introduction into ...