Oberwolfach Reports: Recent submissions

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    • 2212b - Recent Developments in Representation Theory and Mathematical Physics 

      [OWR-2022-16] Workshop Report 2022,16 (2022) - (20 Mar - 26 Mar 2022)
      This mini-workshop was devoted to foster the interactions between mathematicians and mathematical physicists who are working on questions related to representation theory. This includes for example the representation theory ...

    • 2209 - Geometric Structures in Group Theory 

      [OWR-2022-11] Workshop Report 2022,11 (2022) - (27 Feb - 05 Mar 2022)
      The conference was in the area of geometric group theory, the field of mathematics in which one studies infinite groups (finitely generated, or more generally locally compact, countable etc.) via actions on spaces endowed ...

    • 2215b - Conic Linear Optimization for Computer-Assisted Proofs 

      [OWR-2022-20] Workshop Report 2022,20 (2022) - (10 Apr - 16 Apr 2022)
      From a mathematical perspective, optimization is the science of proving inequalities. In this sense, computational optimization is a method for computer-assisted proofs. Conic (linear) optimization is ...

    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] Workshop Report 2022,15 (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...

    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-2022-18] Workshop Report 2022,18 (2022) - (03 Apr - 09 Apr 2022)
      Our understanding of algebraic representations of reductive algebraic groups in positive characteristic has seen big advances in the last years and has been largely transformed into the geometric theory of studying parity ...

    • 2211b - New Mathematical Techniques in Information Theory 

      [OWR-2022-14] Workshop Report 2022,14 (2022) - (13 Mar - 19 Mar 2022)
      Information theory is the richer for a surge of recent advances in relevant mathematical techniques. The workshop fostered an exchange of ideas on new mathematical tools which are typically outside the classical toolbox ...

    • 2204 - Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine 

      [OWR-2022-4] Workshop Report 2022,4 (2022) - (23 Jan - 29 Jan 2022)
      Many real-life applications require mathematical models at multiple scales, defined in domains with complex structures, some of which having time dependent boundaries. Mathematical models of this type are encountered in ...

    • 2202 - Set Theory 

      [OWR-2022-2] Workshop Report 2022,2 (2022) - (09 Jan - 15 Jan 2022)
      While set theory continues reaching out into various other fields of mathematics but also becomes more and more specialized, recent times have seen important results around holy grails of set theory which gave a new momentum ...

    • 2210 - Population Dynamics and Statistical Physics in Synergy 

      [OWR-2022-12] Workshop Report 2022,12 (2022) - (06 Mar - 12 Mar 2022)
      Research at the interface between population dynamics and statistical physics has been developing rapidly, and represents a theme of growing interest worldwide. Population dynamics addresses fundamental questions about the ...

    • 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 ...

    • 2207a - Interpolation, Approximation, and Algebra 

      [OWR-2022-7] Workshop Report 2022,7 (2022) - (13 Feb - 19 Feb 2022)
      This report involves two concepts of geometric modeling: multi-variate data interpolation by polynomials, and the study of generalized bary\-centric coordinates. These topics are connected to a wide range of of applications, ...

    • 2207b - Descriptive Combinatorics, LOCAL Algorithms and Random Processes 

      [OWR-2022-8] Workshop Report 2022,8 (2022) - (13 Feb - 19 Feb 2022)
      The aim of this mini-workshop was to discover and deepen connections between the fields of descriptive combinatorics, distributed computing and random processes. The common link is played by the so-called local coloring ...

    • 2149c - Mini-Workshop: Variable Curvature Bounds, Analysis and Topology on Dirichlet Spaces (hybrid meeting) 

      [OWR-2021-58] Workshop Report 2021,58 (2021) - (05 Dec - 11 Dec 2021)
      A Dirichlet form E is a densely defined bilinear form on a Hilbert space of the form L2(X,μ), subject to some additional properties, which make sure that E can be considered as a natural ...

    • 2203 - Groups and Dynamics: Topology, Measure, and Borel Structure 

      [OWR-2022-3] Workshop Report 2022,3 (2022) - (16 Jan - 22 Jan 2022)
      While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ...

    • 2201 - Graph Theory 

      [OWR-2022-1] Workshop Report 2022,1 (2022) - (02 Jan - 08 Jan 2022)
      Graph theory is a quickly developing area of mathematics, with an increasing number of connections to various parts of mathematics and computer science. The workshop aimed at bringing together a broad range of researchers at ...

    • 2145 - Combinatorial Optimization (hybrid meeting) 

      [OWR-2021-53] Workshop Report 2021,53 (2021) - (07 Nov - 13 Nov 2021)
      Combinatorial Optimization deals with optimization problems defined on combinatorial structures such as graphs and networks. Motivated by diverse practical problem setups, the topic has developed into a rich mathematical ...

    • 2134 - Automorphic Forms, Geometry and Arithmetic (hybrid meeting) 

      [OWR-2021-39] Workshop Report 2021,39 (2021) - (22 Aug - 28 Aug 2021)
      The workshop on automorphic forms, geometry and arithmetic focused on important recent developments within the research area, in particular, on the different recent approaches towards the Langlands functoriality principle ...

    • 2146 - Complexity Theory (hybrid meeting) 

      [OWR-2021-54] Workshop Report 2021,54 (2021) - (14 Nov - 20 Nov 2021)
      Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various ...

    • 2149a - Mini-Workshop: (Anosov)3 (hybrid meeting) 

      [OWR-2021-56] Workshop Report 2021,56 (2021) - (05 Dec - 11 Dec 2021)
      Three different active fields are subsumed under the keyword Anosov theory: Spectral theory of Anosov flows, dynamical rigidity of Anosov actions, and Anosov representations. In all three fields there have been dynamic ...

    • 2150 - Convex Geometry and its Applications (hybrid meeting) 

      [OWR-2021-59] Workshop Report 2021,59 (2021) - (12 Dec - 18 Dec 2021)
      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 ...