Representations and degenerations

Snapshots of modern mathematics from Oberwolfach

Representations and degenerations

In this snapshot, we explain two important mathematical concepts (representation and degeneration) in elementary terms. We will focus on the simplest meaningful examples, and motivate both concepts by study of symmetry.

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Mathematical subjects

Algebra and Number Theory

Connections to other fields

Physics

Author(s)

Ilya Dumanski, Valentina Kiritchenko

License

DOI (Digital Object Identifier)

10.14760/SNAP-2022-007-EN

Download PDF

snapshot-2022-007.pdf

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snapshots: overview

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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
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The Robinson–Schensted algorithm
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Lagrangian mean curvature flow
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Finite geometries: pure mathematics close to applications
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Describing distance: from the plane to spectral triples
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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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Invitation to quiver representation and Catalan combinatorics
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Shape space - a paradigm for character animation in computer graphics
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Quantum symmetry
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Computational Optimal Transport
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Mathematische Modellierung von Krebswachstum
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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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The adaptive finite element method
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Footballs and donuts in four dimensions
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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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