Auflistung nach Erscheinungsdatum

Anzeige der Dokumente 1801-1820 von 1987

    • Ultrafilter methods in combinatorics 

      [SNAP-2021-006-EN] Goldbring, Isaac (Mathematisches Forschungsinstitut Oberwolfach, 2021-06-25)
      Given a set X, ultrafilters determine which subsets of X should be considered as large. We illustrate the use of ultrafilter methods in combinatorics by discussing two cornerstone results in Ramsey theory, namely ...

    • Weak*-Continuity of Invariant Means on Spaces of Matrix Coefficients 

      [OWP-2021-08] de Laat, Tim; Zadeh, Safoura (Mathematisches Forschungsinstitut Oberwolfach, 2021-07-13)
      With every locally compact group $G$, one can associate several interesting bi-invariant subspaces $X(G)$ of the weakly almost periodic functions $\mathrm{WAP}(G)$ on $G$, each of which captures parts of the representation ...

    • The Enigma behind the Good–Turing formula 

      [SNAP-2021-008-EN] Balabdaoui, Fadoua; Kulagina, Yulia (Mathematisches Forschungsinstitut Oberwolfach, 2021-07-16)
      Finding the total number of species in a population based on a finite sample is a difficult but practically important problem. In this snapshot, we will attempt to shed light on how during World War II, two cryptanalysts, ...

    • Reflections on hyperbolic space 

      [SNAP-2021-007-EN] Haensch, Anna (Mathematisches Forschungsinstitut Oberwolfach, 2021-08-24)
      In school, we learn that the interior angles of any triangle sum up to pi. However, there exist spaces different from the usual Euclidean space in which this is not true. One of these spaces is the ''hyperbolic space'', ...

    • Lagrangian mean curvature flow 

      [SNAP-2021-011-EN] Lotay, Jason D. (Mathematisches Forschungsinstitut Oberwolfach, 2021-09-16)
      Lagrangian mean curvature flow is a powerful tool in modern mathematics with connections to topics in analysis, geometry, topology and mathematical physics. I will describe some of the key aspects of Lagrangian mean curvature ...

    • Finite geometries: pure mathematics close to applications 

      [SNAP-2021-010-EN] Storme, Leo (Mathematisches Forschungsinstitut Oberwolfach, 2021-09-22)
      The research field of finite geometries investigates structures with a finite number of objects. Classical examples include vector spaces, projective spaces, and affine spaces over finite fields. Although many of these ...

    • Fundamental Theorem of Projective Geometry over Semirings 

      [OWP-2021-09] Tewari, Ayush Kumar (Mathematisches Forschungsinstitut Oberwolfach, 2021-10-11)
      We state the fundamental theorem of projective geometry for semimodules over semirings, which is facilitated by recent work in the study of bases in semimodules defined over semirings. In the process we explore in detail ...

    • Reflection Positivity and Hankel Operators- the Multiplicity Free Case 

      [OWP-2021-10] Adamo, Maria Stella; Neeb, Karl-Hermann; Schober, Jonas (Mathematisches Forschungsinstitut Oberwolfach, 2021-12-15)
      We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility ...

    • Describing distance: from the plane to spectral triples 

      [SNAP-2021-009-EN] Arici, Francesca; Mesland, Bram (Mathematisches Forschungsinstitut Oberwolfach, 2021-12-31)
      Geometry draws its power from the abstract structures that govern the shapes found in the real world. These abstractions often provide deeper insights into the underlying mathematical objects. In this snapshot, we give a ...

    • Jahresbericht | Annual Report - 2021 

      Mathematisches Forschungsinstitut Oberwolfach (Mathematisches Forschungsinstitut Oberwolfach, 2022)

    • 75 Jahre - Festschrift zum Jubiläum 

      Mathematisches Forschungsinstitut Oberwolfach (Mathematisches Forschungsinstitut Oberwolfach, 2022)
      The Festschrift that marks the 75th anniversary of the MFO in July 2019 includes many interesting contributions, documents and pictures. We would like to put your special focus on the lecture of Stefan Müller (Universität ...

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

      [OWR-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 ...

    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-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 ...

    • 2207a - Interpolation, Approximation, and Algebra 

      [OWR-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, ...

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

      [OWR-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 ...

    • 2207c - Regularization by Noise: Theoretical Foundations, Numerical Methods and Applications 

      [OWR-2022-9] (2022) - (13 Feb - 19 Feb 2022)
      The regularizing effects of noisy perturbations of differential equations is a central subject of stochastic analysis. Recent breakthroughs initiated a new wave of interest, particularly concerning non-Markovian, infinite ...

    • 2208 - Data Assimilation - Mathematical Foundation and Applications 

      [OWR-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 ...

    • 2202 - Set Theory 

      [OWR-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 ...

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

      [OWR-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 ...

    • 2211b - New Mathematical Techniques in Information Theory 

      [OWR-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 ...