Browsing Oberwolfach Reports by MSC "15"

Now showing items 1-20 of 24

    • 1716 - Algebraic Statistics 

      [OWR-2017-20] Workshop Report 2017,20 (2017) - (16 Apr - 22 Apr 2017)
      Algebraic Statistics is concerned with the interplay of techniques from commutative algebra, combinatorics, (real) algebraic geometry, and related fields with problems arising in statistics and data science. This workshop ...

    • 1813 - Applied Harmonic Analysis and Data Processing 

      [OWR-2018-14] Workshop Report 2018,14 (2018) - (25 Mar - 31 Mar 2018)
      Massive data sets have their own architecture. Each data source has an inherent structure, which we should attempt to detect in order to utilize it for applications, such as denoising, clustering, anomaly detection, knowledge ...

    • 2148 - Applied Harmonic Analysis and Data Science (hybrid meeting) 

      [OWR-2021-55] Workshop Report 2021,55 (2021) - (28 Nov - 04 Dec 2021)
      Data science has become a field of major importance for science and technology nowadays and poses a large variety of challenging mathematical questions. The area of applied harmonic analysis has a significant impact ...

    • 1224 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2012-29] Workshop Report 2012,29 (2012) - (10 Jun - 16 Jun 2012)
      Applied harmonic analysis and sparse approximation are highly active research areas with a lot of recent exciting developments. Their methods have become crucial for a wide range of applications in technology and science, ...

    • 1534 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2015-38] Workshop Report 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 ...

    • 1514 - Arbeitsgemeinschaft: The Kadison-Singer Conjecture 

      [OWR-2015-17] Workshop Report 2015,17 (2015) - (29 Mar - 04 Apr 2015)
      The solution to the Kadison–Singer conjecture used techniques that intersect a number of areas of mathematics. The goal of this Arbeitsgemeinschaft was to bring together people from each of these fields to support interactions ...

    • 1744b - Copositivity and Complete Positivity 

      [OWR-2017-52] Workshop Report 2017,52 (2017) - (29 Oct - 04 Nov 2017)
      A real matrix $A$ is called copositive if $x^TAx \ge 0$ holds for all $x \in \mathbb R^n_+$. A matrix $A$ is called completely positive if it can be factorized as $A = BB^T$ , where $B$ is an entrywise nonnegative matrix. ...

    • 0813 - Disordered Systems: Random Schrödinger Operators and Random Matrices 

      [OWR-2008-16] Workshop Report 2008,16 (2008) - (23 Mar - 29 Mar 2008)
      The spectral analysis of random operators plays a central role for the understanding of quantum systems with disorder. Two distinct types of ensembles are of particular significance: Random Schrödinger operators and random ...

    • 0651 - Konvexgeometrie 

      [OWR-2006-56] Workshop Report 2006,56 (2006) - (17 Dec - 23 Dec 2006)
      The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of other ...

    • 0933 - Linear and Nonlinear Eigenproblems for PDEs 

      [OWR-2009-37] Workshop Report 2009,37 (2009) - (09 Aug - 15 Aug 2009)
      The workshop discussed the numerical solution of linear and nonlinear eigenvalue problems for partial differential equations. It included the theoretical analysis the development of new (adaptive) methods, the iterative ...

    • 1416a - Mini-Workshop: Mathematical Physics meets Sparse Recovery 

      [OWR-2014-18] Workshop Report 2014,18 (2014) - (13 Apr - 19 Apr 2014)
      In recent years, there have been several fruitful interchanges of methods between the fields of sparse and low-rank recovery on the one hand and quantum information theory on the other hand. One way to understand this ...

    • 2342c - Mini-Workshop: Nonlinear Approximation of High-dimensional Functions in Scientific Computing 

      [OWR-2023-48] Workshop Report 2023,48 (2023) - (15 Oct - 20 Oct 2023)
      Approximation techniques for high dimensional PDEs are crucial for contemporary scientific computing tasks and gained momentum in recent years due to the renewed interest in neural networks. It seems that especially ...

    • 1006a - Optimal Constants in the Theory of Sobolev Spaces and PDEs 

      [OWR-2010-8] Workshop Report 2010,8 (2010) - (07 Feb - 13 Feb 2010)
      Recent research activities on sharp constants and optimal inequalities have shown their impact on a deeper understanding of geometric, analytical and other phenomena in the context of partial differential equations and ...

    • 1818 - Quadratic Forms and Related Structures over Fields 

      [OWR-2018-21] Workshop Report 2018,21 (2018) - (29 Apr - 05 May 2018)
      The range of topics discussed at the workshop “Quadratic Forms and Related Structures over Fields” included core themes from the algebraic theory of quadratic and hermitian forms and their Witt groups, several aspects of ...

    • 1118 - Random Matrices, Geometric Functional Analysis and Algorithms 

      [OWR-2011-24] Workshop Report 2011,24 (2011) - (01 May - 07 May 2011)
      The workshop gathered close to 50 participants on the topics of random matrix theory, high dimensional convex geometry and probabilistic methods in theoretical computer science. It favored cooperation between researchers ...

    • 0808 - Representation Theory of Finite Dimensional Algebras 

      [OWR-2008-9] Workshop Report 2008,9 (2008) - (17 Feb - 23 Feb 2008)
      Methods and results from the representation theory of finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, commutative ...

    • 0506 - Representation Theory of Finite-Dimensional Algebras 

      [OWR-2005-6] Workshop Report 2005,6 (2005) - (06 Feb - 12 Feb 2005)
      Methods and results from the representation theory of finite dimensional algebras have led to many interactions with other areas of mathematics. The aim of this workshop was, in addition to stimulating progress in the ...

    • 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, ...

    • 1108 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2011-10] Workshop Report 2011,10 (2011) - (20 Feb - 26 Feb 2011)
      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, ...

    • 1408 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2014-8] Workshop Report 2014,8 (2014) - (16 Feb - 22 Feb 2014)
      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, ...