Browsing Workshops 2022 by Title

Now showing items 1-20 of 57

    • 2228 - Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects 

      [OWR-2022-32] Workshop Report 2022,32 (2022) - (10 Jul - 16 Jul 2022)
      The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well ...

    • 2219 - Algebraic K-Theory 

      [OWR-2022-24] Workshop Report 2022,24 (2022) - (08 May - 14 May 2022)
      Algebraic $K$-theory has seen further progress during the last three years. One important aspect of this recent progress has been a better conceptual understanding of motivic filtrations on $K$-theory and the systematic ...

    • 2249a - Algebraic Structures in Statistical Methodology 

      [OWR-2022-55] Workshop Report 2022,55 (2022) - (04 Dec - 10 Dec 2022)
      Algebraic structures arise naturally in a broad variety of statistical problems, and numerous fruitful connections have been made between algebra and discrete mathematics and research on statistical methodology. The ...

    • 2245 - Analytic Number Theory 

      [OWR-2022-50] Workshop Report 2022,50 (2022) - (06 Nov - 12 Nov 2022)
      Analytic number theory is a subject central to modern mathematics. There are many important unsolved problems which have stimulated a large amount of activity by many talented researchers. At least two of the Millennium ...

    • 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 ...

    • 2241 - Arbeitsgemeinschaft: Higher Rank Teichmüller Theory 

      [OWR-2022-47] Workshop Report 2022,47 (2022) - (09 Oct - 14 Oct 2022)
      Higher rank Teichmüller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond ...

    • 2242 - Arbeitsgemeinschaft: Quantitative Stochastic Homogenization 

      [OWR-2022-48] Workshop Report 2022,48 (2022) - (16 Oct - 22 Oct 2022)
      Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ...

    • 2239 - At the Interface between Semiclassical Analysis and Numerical Analysis of Wave Scattering Problems 

      [OWR-2022-43] Workshop Report 2022,43 (2022) - (25 Sep - 01 Oct 2022)
      In this context of wave scattering, both semiclassical analysis and numerical analysis share the same goal - that of understanding the behaviour of the scattered wave - but these two fields operate largely in isolation, ...

    • 2232 - C*-Algebras 

      [OWR-2022-36] Workshop Report 2022,36 (2022) - (07 Aug - 13 Aug 2022)
      Operator algebras form a very active area of mathematics which, since its inception in the 1940s, has always been driven by interactions with other fields of mathematics and physics. The scope of these interactions is very ...

    • 2233 - Calculus of Variations 

      [OWR-2022-37] Workshop Report 2022,37 (2022) - (14 Aug - 20 Aug 2022)
      The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions ...

    • 2235 - Character Theory and Categorification 

      [OWR-2022-39] Workshop Report 2022,39 (2022) - (28 Aug - 03 Sep 2022)
      Over a hundred years after the work of Frobenius and Schur, the sheer enormity of what is not known about the character theory of symmetric and alternating groups continues to surprise and awe the uninitiated. How does ...

    • 2217 - Combinatorics, Probability and Computing 

      [OWR-2022-22] Workshop Report 2022,22 (2022) - (24 Apr - 30 Apr 2022)
      The main theme of this workshop was the use of probabilistic methods in combinatorics and theoretical computer science. This area is evolving extremely quickly, with the introduction of powerful new methods and the development ...

    • 2236 - Complex Geometry and Dynamical Systems 

      [OWR-2022-40] Workshop Report 2022,40 (2022) - (04 Sep - 10 Sep 2022)
      The workshop focused on recent developments in holomorphic dynamics, several complex variables and complex geometry. The topics of the talks included dynamics of holomorphic and rational maps, the theory of currents, ...

    • 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 ...

    • 2208 - Data Assimilation - Mathematical Foundation and Applications 

      [OWR-2022-10] Workshop Report 2022,10 (2022) - (20 Feb - 26 Feb 2022)
      The field of "Data Assimilation'' has been driven by applications from the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data ...

    • 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 ...

    • 2221 - Deterministic Dynamics and Randomness in PDE 

      [OWR-2022-26] Workshop Report 2022,26 (2022) - (22 May - 28 May 2022)
      Over the last few years there has been spectacular progress in the study of parabolic SPDE, of nonlinear dispersive and wave equations and of probabilistic methods in PDE. An important direction connecting these three ...

    • 2216 - Diophantische Approximationen 

      [OWR-2022-21] Workshop Report 2022,21 (2022) - (17 Apr - 23 Apr 2022)
      This workshop was focused on a large variety of problems which have seen important progress during the last few years, such as extensions and refinements of Schmidt Subspace Theorem, together with new applications, works ...

    • 2250 - Enumerative Combinatorics 

      [OWR-2022-57] Workshop Report 2022,57 (2022) - (11 Dec - 17 Dec 2022)
      Enumerative Combinatorics focuses on the exact and asymptotic counting of combinatorial objects. It has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, probability ...

    • 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 ...