Oberwolfach Reports: Recent submissions

Now showing items 421-440 of 1192

    • 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 ...

    • 1718 - O-Minimality and its Applications to Number Theory and Analysis 

      [OWR-2017-22] Workshop Report 2017,22 (2017) - (30 Apr - 06 May 2017)
      The workshop brought together researchers in the areas of o-minimal structures, analysis and number theory. The latest developments in o-minimality and their applications to number theory and analysis were presented in a ...

    • 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 ...

    • 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 ...

    • 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 ...

    • 1713 - Multiscale and High-Dimensional Problems 

      [OWR-2017-17] Workshop Report 2017,17 (2017) - (26 Mar - 01 Apr 2017)
      High-dimensional problems appear naturally in various scientific areas. Two primary examples are PDEs describing complex processes in computational chemistry and physics, and stochastic/ parameter-dependent PDEs arising ...

    • 1712 - Statistical Recovery of Discrete, Geometric and Invariant Structures 

      [OWR-2017-16] Workshop Report 2017,16 (2017) - (19 Mar - 25 Mar 2017)
      The main objective of the workshop was to bring together researchers in mathematical statistics and related areas in order to discuss recent advances and problems associated with statistical recovery of geometric and ...

    • 1711 - Space-time Methods for Time-dependent Partial Differential Equations 

      [OWR-2017-15] Workshop Report 2017,15 (2017) - (12 Mar - 18 Mar 2017)
      Modern discretizations of time-dependent PDEs consider the full problem in the space-time cylinder and aim to overcome limitations of classical approaches such as the method of lines (first discretize in space and then ...

    • 1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization 

      [OWR-2017-14] Workshop Report 2017,14 (2017) - (05 Mar - 11 Mar 2017)
      Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ...

    • 1709 - Mathematics of Quantitative Finance 

      [OWR-2017-13] Workshop Report 2017,13 (2017) - (26 Feb - 04 Mar 2017)
      The workshop on Mathematics of Quantitative Finance, organised at the Mathematisches Forschungsinstitut Oberwolfach from 26 February to 4 March 2017, focused on cutting edge areas of mathematical finance, with an emphasis ...

    • 1708 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2017-12] Workshop Report 2017,12 (2017) - (19 Feb - 25 Feb 2017)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 1707 - Set Theory 

      [OWR-2017-11] Workshop Report 2017,11 (2017) - (12 Feb - 18 Feb 2017)
      This workshop included selected talks on pure set theory and its applications, simultaneously showing diversity and coherence of the subject.

    • 1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity 

      [OWR-2017-10] Workshop Report 2017,10 (2017) - (05 Feb - 11 Feb 2017)
      Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ...

    • 1706a - Mini-Workshop: Cluster Expansions: From Combinatorics to Analysis through Probability 

      [OWR-2017-8] Workshop Report 2017,8 (2017) - (05 Feb - 11 Feb 2017)
      The workshop addressed the interplay between theory and applications of cluster expansions. These expansions, historically geared towards the study of systems in statistical mechanics, thermodynamics, and physical chemistry, ...

    • 1706b - Mini-Workshop: Stochastic Differential Equations: Regularity and Numerical Analysis in Finite and Infinite Dimensions 

      [OWR-2017-9] Workshop Report 2017,9 (2017) - (05 Feb - 11 Feb 2017)
      This Mini-Workshop is devoted to regularity and numerical analysis of stochastic ordinary and partial differential equations (SDEs for both). The standard assumption in the literature on SDEs is global Lipschitz continuity ...