Oberwolfach Reports
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1826 - Algebraische Zahlentheorie
[OWR-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 -
1825b - Matrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension
[OWR-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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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 ... -
1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups
[OWR-2018-17] (2018) - (15 Apr - 21 Apr 2018)The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. ... -
1815 - Challenges in Optimal Control of Nonlinear PDE-Systems
[OWR-2018-16] (2018) - (08 Apr - 14 Apr 2018)The workshop focussed on various aspects of optimal control problems for systems of nonlinear partial differential equations. In particular, discussions around keynote presentations in the areas of optimal control of ... -
1814 - Arbeitsgemeinschaft: Topological Cyclic Homology
[OWR-2018-15] (2018) - (01 Apr - 07 Apr 2018)Introduced by Bökstedt-Hsiang-Madsen in the nineties, topological cyclic homology is a manifestation of the dual visions of Connes-Tsygan and Waldhausen to extend de Rham cohomology to a noncommutative setting and to ... -
1813 - Applied Harmonic Analysis and Data Processing
[OWR-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 ... -
1812 - Mathematical Methods in Quantum Chemistry
[OWR-2018-13] (2018) - (18 Mar - 24 Mar 2018)The field of quantum chemistry is concerned with the modelling and simulation of the behaviour of molecular systems on the basis of the fundamental equations of quantum mechanics. Since these equations exhibit an extreme ... -
1811 - Statistical Inference for Structured High-dimensional Models
[OWR-2018-12] (2018) - (11 Mar - 17 Mar 2018)High-dimensional statistical inference is a newly emerged direction of statistical science in the 21 century. Its importance is due to the increasing dimensionality and complexity of models needed to process and understand ... -
1810c - Mini-Workshop: Deep Learning and Inverse Problems
[OWR-2018-11] (2018) - (04 Mar - 10 Mar 2018)Machine learning and in particular deep learning offer several data-driven methods to amend the typical shortcomings of purely analytical approaches. The mathematical research on these combined models is presently exploding ...