Workshops 2018

 
 

Workshops 2018

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    • 1833 - Geometric Methods of Complex Analysis 

      [OWR-2018-37] Workshop Report 2018,37 (2018) - (12 Aug - 18 Aug 2018)
      The purpose of this workshop was to discuss recent results in Several Complex Variables, Complex Geometry and Complex Dynamical Systems with a special focus on the exchange of ideas and methods among these areas. The main ...

    • 1832 - Mathematical General Relativity 

      [OWR-2018-36] Workshop Report 2018,36 (2018) - (05 Aug - 11 Aug 2018)
      General Relativity is one of the triumphs of twentieth century physics. Its spectacular predictions include gravitational waves, black holes, and spacetime singularities. The mathematical study of this theory leads to deep ...

    • 1831 - Calculus of Variations 

      [OWR-2018-35] Workshop Report 2018,35 (2018) - (29 Jul - 04 Aug 2018)
      The Calculus of Variations is at once a classical subject, and a very modern one. Its scope encompasses a broad range of topics in geometric analysis, and deep questions about PDE. New frontiers are constantly emerging, ...

    • 1830 - Explicit Methods in Number Theory 

      [OWR-2018-34] Workshop Report 2018,34 (2018) - (22 Jul - 28 Jul 2018)
      The aim of the series of Oberwolfach meetings on ‘Explicit methods in number theory’ is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, ...

    • 1829 - Classical Algebraic Geometry 

      [OWR-2018-33] Workshop Report 2018,33 (2018) - (15 Jul - 21 Jul 2018)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems in the development of the field. Examples include new invariants that capture some aspect of ...

    • 1828 - Non-commutative Geometry, Index Theory and Mathematical Physics 

      [OWR-2018-32] Workshop Report 2018,32 (2018) - (08 Jul - 14 Jul 2018)
      Non-commutative geometry today is a new but mature branch of mathematics shedding light on many other areas from number theory to operator algebras. In the 2018 meeting two of these connections were highlighted. For once, ...

    • 1827 - Topologie 

      [OWR-2018-31] Workshop Report 2018,31 (2018) - (01 Jul - 07 Jul 2018)
      The talks covered advances in algebraic K-theory and topological cyclic homology, geometric group theory, low dimensional topology relying on a mixture of combinatorial and analytic methods, classification of highdimensional ...

    • 1826 - Algebraische Zahlentheorie 

      [OWR-2018-30] Workshop Report 2018,30 (2018) - (24 Jun - 30 Jun 2018)
      The origins of Algebraic Number Theory can be traced to over two centuries ago, wherein algebraic techniques are used to glean information about integers and rational numbers. It continues to be at the forefront of modern ...

    • 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 ...

    • 1825a - Subgroups of Cremona Groups 

      [OWR-2018-28] Workshop Report 2018,28 (2018) - (17 Jun - 23 Jun 2018)
      There have been recent breakthroughs in two related questions: the study of Cremona groups, and the problem of rationality of algebraic varieties. Our workshop brought together algebraic geometers, who discussed and tried ...

    • 1824 - Geometrie 

      [OWR-2018-27] Workshop Report 2018,27 (2018) - (10 Jun - 16 Jun 2018)
      The workshop Geometrie, organized by John Lott (Berkeley), André Neves (London), Iskander Taimanov (Novosibirsk) and Burkhard Wilking (Münster) was well attended with over 53 participants with broad geographic representation ...

    • 1823b - Cohomological and Metric Properties of Groups of Homeomorphisms of R 

      [OWR-2018-26] Workshop Report 2018,26 (2018) - (03 Jun - 09 Jun 2018)
      In recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic ...

    • 1823a - Field Arithmetic 

      [OWR-2018-25] Workshop Report 2018,25 (2018) - (03 Jun - 09 Jun 2018)
      Field Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic ...

    • 1822 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2018-24] Workshop Report 2018,24 (2018) - (27 May - 02 Jun 2018)
      The workshop presented current developments exploring the boundaries and intersections between the fields of noncommutative algebra and representation theory on the one hand, and algebraic geometry on the other hand, with ...

    • 1820 - Enumerative Combinatorics 

      [OWR-2018-23] Workshop Report 2018,23 (2018) - (13 May - 19 May 2018)
      Enumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to ...

    • 1819 - Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information 

      [OWR-2018-22] Workshop Report 2018,22 (2018) - (06 May - 12 May 2018)
      Operator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator ...

    • 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 ...

    • 1817 - Nonlinear Data: Theory and Algorithms 

      [OWR-2018-20] Workshop Report 2018,20 (2018) - (22 Apr - 28 Apr 2018)
      Techniques and concepts from differential geometry are used in many parts of applied mathematics today. However, there is no joint community for users of such techniques. The workshop on Nonlinear Data assembled researchers ...

    • 1816c - Mini-Workshop: Superexpanders and Their Coarse Geometry 

      [OWR-2018-19] Workshop Report 2018,19 (2018) - (15 Apr - 21 Apr 2018)
      It is a deep open problem whether all expanders are superexpanders. In fact, it was already a major challenge to prove the mere existence of superexpanders. However, by now, some classes of examples are known: Lafforgue’s ...

    • 1816b - Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations 

      [OWR-2018-18] Workshop Report 2018,18 (2018) - (15 Apr - 21 Apr 2018)
      In this mini-workshop we brought together leading experts working on the application of Gibbs measures to the study of nonlinear PDEs. This framework is a powerful tool in the probabilistic study of solutions to nonlinear ...