• 1739 - Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces 

      [OWR-2017-45] Workshop Report 2017,45 (2017) - (24 Sep - 30 Sep 2017)
      The workshop covered a number of active areas of research in algebraic geometry with a focus on derived categories, moduli spaces (of varieties and sheaves) and birational geometry (often in positive characteristic) and ...
    • 1717 - Algebraic Groups 

      [OWR-2017-21] Workshop Report 2017,21 (2017) - (23 Apr - 29 Apr 2017)
      Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential ...
    • 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 ...
    • 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] Workshop Report 2017,36 (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...
    • 1705 - Applications of Optimal Transportation in the Natural Sciences 

      [OWR-2017-7] Workshop Report 2017,7 (2017) - (29 Jan - 04 Feb 2017)
      The aim of this workshop was to gather a mixed group of experts and young researchers from different areas of applied mathematics in which optimal transport plays a central role. Applications in one of the classical areas ...
    • 1741 - Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry 

      [OWR-2017-47] Workshop Report 2017,47 (2017) - (08 Oct - 13 Oct 2017)
      The aim of the workshop was to survey recent developments in fractal geometry, specifically those related to projections and slices of planar self-similar sets, and dimension and absolute continuity of self-similar measures ...
    • 1714 - Arbeitsgemeinschaft: Higher Gross Zagier Formulas 

      [OWR-2017-18] Workshop Report 2017,18 (2017) - (02 Apr - 08 Apr 2017)
      The aim of this Arbeitsgemeinschaft is to go over the proof of the higher Gross–Zagier formula established in the paper [YZ15]. The formula relates arbitrary order central derivative of the base change $L$-function of an ...
    • 1736 - Automorphic Forms and Arithmetic 

      [OWR-2017-40] Workshop Report 2017,40 (2017) - (03 Sep - 09 Sep 2017)
      The workshop brought together leading experts and young researchers at the interface of automorphic forms and analytic number theory to disseminate, discuss and develop important recent methods and results. A particular ...
    • 1749 - Classical and Quantum Mechanical Models of Many-Particle Systems 

      [OWR-2017-56] Workshop Report 2017,56 (2017) - (03 Dec - 09 Dec 2017)
      This workshop was dedicated to the presentation of recent results in the field of the mathematical study of kinetic theory and its naturalextensions (statistical physics and fluid mechanics). The main models are the ...
    • 1701 - Combinatorics 

      [OWR-2017-1] Workshop Report 2017,1 (2017) - (01 Jan - 07 Jan 2017)
      Combinatorics is a fundamental mathematical discipline that focuses on the study of discrete objects and their properties. The present workshop featured research in such diverse areas as Extremal, Probabilistic and Algebraic ...
    • 1720 - Computational Inverse Problems for Partial Differential Equations 

      [OWR-2017-24] Workshop Report 2017,24 (2017) - (14 May - 20 May 2017)
      The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may ...
    • 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. ...
    • 1703 - Cryptography 

      [OWR-2017-5] Workshop Report 2017,5 (2017) - (15 Jan - 21 Jan 2017)
      The Oberwolfach workshop Cryptography brought together scientists from cryptography with mathematicians specializing in the algorithmic problems underlying cryptographic security. The goal of the workshop was to stimulate ...
    • 1727 - Differentialgeometrie im Großen 

      [OWR-2017-31] Workshop Report 2017,31 (2017) - (02 Jul - 08 Jul 2017)
      The topics discussed at the meeting were Kähler geometry, geometric evolution equations, manifolds of nonnegative curvature, metric geometry and geometric representations of groups. The choice of topics reflects current ...
    • 1715 - Discrete Geometry 

      [OWR-2017-19] Workshop Report 2017,19 (2017) - (09 Apr - 15 Apr 2017)
      A number of important recent developments in various branches of discrete geometry were presented at the workshop. The presentations illustrated both the diversity of the area and its strong connections to other fields of ...
    • 1728 - Dynamische Systeme 

      [OWR-2017-32] Workshop Report 2017,32 (2017) - (09 Jul - 15 Jul 2017)
      This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser–Zehnder meeting” in 1981. The main themes of the workshop are the new results and developments in the area of ...
    • 1704 - Emerging Developments in Interfaces and Free Boundaries 

      [OWR-2017-6] Workshop Report 2017,6 (2017) - (22 Jan - 28 Jan 2017)
      The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop ...
    • 1726 - Geometric Structures in Group Theory 

      [OWR-2017-30] Workshop Report 2017,30 (2017) - (25 Jun - 01 Jul 2017)
      Geometric group theory has natural connections and rich interfaces with many of the other major fields of modern mathematics. The basic motif of the field is the construction and exploration of actions by infinite groups ...
    • 1719 - Geophysical Fluid Dynamics 

      [OWR-2017-23] Workshop Report 2017,23 (2017) - (07 May - 13 May 2017)
      The workshop “Geophysical Fluid Dynamics” addressed recent advances in analytical, stochastic, modeling and computational studies of geophysical fluid models. Of central interest were the reduced geophysical models, that ...
    • 1721 - Harmonic Analysis and the Trace Formula 

      [OWR-2017-25] Workshop Report 2017,25 (2017) - (21 May - 27 May 2017)
      The purpose of this workshop was to discuss recent results in harmonic analysis that arise in the study of the trace formula. This theme is common to different directions of research on automorphic forms such as representation ...