Oberwolfach Reports: Recent submissions

Now showing items 321-340 of 1107

    • 1738b - Mini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton-Okounkov Bodies 

      [OWR-2017-43] Workshop Report 2017,43 (2017) - (17 Sep - 23 Sep 2017)
      There are several flavors of positivity in Algebraic Geometry. They range from conditions that determine vanishing of cohomology, to intersection theoretic properties, and to convex geometry. They offer excellent invariants ...

    • 1737 - Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications 

      [OWR-2017-41] Workshop Report 2017,41 (2017) - (10 Sep - 16 Sep 2017)
      Quantum field theory (QFT) may be considered one of the most fundamental frameworks of theoretical physics. Quantum Electrodynamics (QED) is the part of QFT that describes the interaction between matter and light. Although ...

    • 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 ...

    • 1735 - Komplexe Analysis 

      [OWR-2017-39] Workshop Report 2017,39 (2017) - (27 Aug - 02 Sep 2017)
      Complex Analysis is a very active branch of mathematics. The aim of this workshop was to discuss recent developments in several complex variables and complex geometry. Topics included singular Kähler–Einstein metrics, ...

    • 1734 - Low-dimensional Topology and Number Theory 

      [OWR-2017-38] Workshop Report 2017,38 (2017) - (20 Aug - 26 Aug 2017)
      The workshop brought together topologists and number theorists with the intent of exploring the many tantalizing connections between these areas.

    • 1733 - Proof Complexity and Beyond 

      [OWR-2017-37] Workshop Report 2017,37 (2017) - (13 Aug - 19 Aug 2017)
      Proof complexity is a multi-disciplinary intellectual endeavor that addresses questions of the general form “how difficult is it to prove certain mathematical facts?” The current workshop focused on recent advances in our ...

    • 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 ...

    • 1731 - Partial Differential Equations 

      [OWR-2017-35] Workshop Report 2017,35 (2017) - (30 Jul - 05 Aug 2017)
      The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as minimal surfaces and geometric measure theory, conformal geometry, geometric ...

    • 1730 - Real Analysis, Harmonic Analysis, and Applications 

      [OWR-2017-34] Workshop Report 2017,34 (2017) - (23 Jul - 29 Jul 2017)
      The workshop focused on important developments within the last few years in real and harmonic analysis, including polynomial partitioning and decoupling as well as significant concurrent progress in the application of these ...

    • 1729 - Material Theories 

      [OWR-2017-33] Workshop Report 2017,33 (2017) - (16 Jul - 22 Jul 2017)
      Material theories is a series of workshops concerned with a broad range of topics related to the mechanics and mathematics of materials. As such, this edition brought together researchers from diverse fields converging ...

    • 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 ...

    • 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 ...

    • 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 ...

    • 1725a - Reaction Networks and Population Dynamics 

      [OWR-2017-28] Workshop Report 2017,28 (2017) - (18 Jun - 24 Jun 2017)
      Reaction systems and population dynamics constitute two highly developed areas of research that build on well-defined model classes, both in terms of dynamical systems and stochastic processes. Despite a significant core ...

    • 1725b - Nonlinear Partial Differential Equations on Graphs 

      [OWR-2017-29] Workshop Report 2017,29 (2017) - (18 Jun - 24 Jun 2017)
      One-dimensional metric graphs in two and three-dimensional spaces play an important role in emerging areas of modern science such as nano-technology, quantum physics, and biological networks. The workshop focused on the ...

    • 1724 - Nonlinear Waves and Dispersive Equations 

      [OWR-2017-27] Workshop Report 2017,27 (2017) - (11 Jun - 17 Jun 2017)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide ...

    • 1722 - Stochastic Analysis: Geometry of Random Processes 

      [OWR-2017-26] Workshop Report 2017,26 (2017) - (28 May - 03 Jun 2017)
      A common feature shared by many natural objects arising in probability theory is that they tend to be very “rough”, as opposed to the “smooth” objects usually studied in other branches of mathematics. It is however still ...

    • 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 ...

    • 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 ...

    • 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 ...