Higgs bundles without geometry

Schnappschüsse moderner Mathematik aus Oberwolfach

Higgs bundles without geometry

Higgs bundles appeared a few decades ago as solutions to certain equations from physics and have attracted much attention in geometry as well as other areas of mathematics and physics. Here, we take a very informal stroll through some aspects of linear algebra that anticipate the deeper structure in the moduli space of Higgs bundles.

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Mathematisches Fachgebiet

Geometrie und Topologie

Verbindung zu anderen Gebieten

Physik

Autor(en)

Steven Rayan, Laura P. Schaposnik

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2020-008-EN

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snapshots-2020-008.pdf

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snapshots: overview

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Closed geodesics on surfaces
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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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Laurent Bartholdi
Profinite groups
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The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
Lior Bary-Soroker
Prime Tuples in Function Fields
Rafael Guglielmetti, Matthieu Jacquemet
Polyhedra and commensurability
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Maria Dostert, Stefan Krupp, Jan Hendrick Rolfes
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Raluca Eftimie
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Tom Solomon
Chaos and chaotic fluid mixing
Thorsten Holm
Friezes and tilings
George Willis
Zero-dimensional symmetry
Christine Breiner
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Diana Davis
Billiards and flat surfaces
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Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
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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

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Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
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Physik
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