Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren

Schnappschüsse moderner Mathematik aus Oberwolfach

Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren

Die Yang–Baxter-Gleichung ist eine faszinierende Gleichung, die in vielen Gebieten der Physik und der Mathematik auftritt und die am besten diagrammatisch dargestellt wird. Dieser Snapshot schlägt einen weiten Bogen vom Zöpfeflechten über die Yang–Baxter-Gleichung bis hin zur aktuellen Forschung zu Systemen von unendlichdimensionalen Algebren, die wir „Unterfaktoren“ nennen.

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Geometrie und Topologie

Verbindung zu anderen Gebieten

Physik

Autor(en)

Gandalf Lechner

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2021-005-EN

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snapshot-2021-005.pdf

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snapshots: overview

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Closed geodesics on surfaces
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Characterizations of intrinsic volumes on convex bodies and convex functions
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Representations and degenerations
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Searching for the Monster in the Trees
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
Baptiste Rognerud
Invitation to quiver representation and Catalan combinatorics
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C∗-algebras: structure and classification
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Quantum symmetry
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Random matrix theory: Dyson Brownian motion
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From Betti numbers to l2-Betti numbers
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Is it possible to predict the far future before the near future is known accurately?
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The Interaction of Curvature and Topology
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Topological recursion
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The Algebraic Statistics of an Oberwolfach Workshop
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Solving quadratic equations in many variables
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Computational Optimal Transport
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A few shades of interpolation
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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Towards a Mathematical Theory of Turbulence in Fluids
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Profinite groups
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The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
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The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Raluca Eftimie
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Tom Solomon
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Zero-dimensional symmetry
Christine Breiner
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Diana Davis
Billiards and flat surfaces
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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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