Oberwolfach Reports: Recent submissions

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    • 1841 - Arbeitsgemeinschaft: Rigidity of Stationary Measure 

      [OWR-2018-47] Workshop Report 2018,47 (2018) - (07 Oct - 12 Oct 2018)
      The aim of this Arbeitsgemeinschaft was to understand the classification of stationary measures for semisimple random walks on a finite volume homogeneous space and its applications as described in the two papers [1] and [2].

    • 1840c - Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory 

      [OWR-2018-46] Workshop Report 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, ...

    • 1840b - Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals 

      [OWR-2018-45] Workshop Report 2018,45 (2018) - (30 Sep - 06 Oct 2018)
      Recent decades have witnessed a shift in interest from isolated objects to families of objects and their limit behavior, both in algebraic geometry and in commutative algebra. A series of various invariants have been ...

    • 1840a - Mini-Workshop: Positional Games 

      [OWR-2018-44] Workshop Report 2018,44 (2018) - (30 Sep - 06 Oct 2018)
      This mini-workshop focused on Positional Games and related fields. Positional Games Theory is a branch of Combinatorics whose main aim is to systematically develop an extensive mathematical basis for a variety of two-player ...

    • 1839 - Differential Equations arising from Organising Principles in Biology 

      [OWR-2018-43] Workshop Report 2018,43 (2018) - (23 Sep - 29 Sep 2018)
      This workshop brought together experts in modeling and analysis of organising principles of multiscale biological systems such as cell assemblies, tissues and populations. We focused on questions arising in systems biology ...

    • 1838 - Flat Surfaces and Algebraic Curves 

      [OWR-2018-42] Workshop Report 2018,42 (2018) - (16 Sep - 22 Sep 2018)
      This workshop brought together two distinct communities: “flat” geometers, studying the moduli of flat surfaces, and Teichmüller dynamics, and algebraic geometers studying the moduli space of curves. While both communities ...

    • 1837 - Scaling Limits in Models of Statistical Mechanics 

      [OWR-2018-41] Workshop Report 2018,41 (2018) - (09 Sep - 15 Sep 2018)
      This conference (part of a long running series) aims to cover the interplay between probability and mathematical statistical mechanics. Specific topics addressed during the 22 talks include: Universality and critical ...

    • 1836 - New Trends in Teichmüller Theory and Mapping Class Groups 

      [OWR-2018-40] Workshop Report 2018,40 (2018) - (02 Sep - 08 Sep 2018)
      In this workshop, various topics in Teichmüller theory and mapping class groups were discussed. Twenty-three talks dealing with classical topics and new directions in this field were given. A problem session was organised ...

    • 1835 - Reactive Flows in Deformable, Complex Media 

      [OWR-2018-39] Workshop Report 2018,39 (2018) - (26 Aug - 01 Sep 2018)
      Many processes of highest actuality in the real life are described through systems of equations posed in complex domains. Of particular interest is the situation when the domain is changing in time, undergoing deformations ...

    • 1834 - New Directions in Stochastic Optimisation 

      [OWR-2018-38] Workshop Report 2018,38 (2018) - (19 Aug - 25 Aug 2018)
      Recent work in stochastic programming draws on interaction with Algebraic and Combinatorial Models, Numerical Analysis of PDEs, Risk Analysis, Mathematical Equilibrium, Minimax, and Stochastic Games. For the first time ...

    • 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 ...