Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren

Snapshots of modern mathematics from 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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Mathematical subjects

Algebra and Number Theory
Analysis
Geometry and Topology

Connections to other fields

Physics

Author(s)

Gandalf Lechner

License

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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The periodic tables of algebraic geometry
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Characterizations of intrinsic volumes on convex bodies and convex functions
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The Robinson–Schensted algorithm
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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
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Invitation to quiver representation and Catalan combinatorics
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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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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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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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