Brauer’s problems: 60 years of legacy

Instantanés de recherche mathématique à Oberwolfach

Brauer’s problems: 60 years of legacy

Richard Brauer (1901–1977) was a German–American mathematician who is regarded as the founder of a highly active mathematical area known as modular representation theory. This area grew from group theory, which can be thought of as the mathematical study of symmetries. In this snapshot, we hope to impress on the reader the legacy left by Brauer and celebrate the 60th anniversary of “Brauer’s problems”, a list of 43 conjectures and objectives suggested by Brauer in 1963. These problems inspired an entire branch within character theory, studying “local-global conjectures”.

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Sujet mathématique

Algèbre et théorie des nombres

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Physique

Auteur(s)

Noelia Rizo, Mandi Schaeffer Fry

Licence

DOI

10.14760/SNAP-2025-006-EN

Télécharger PDF

snapshot-2025-006.pdf

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snapshots: overview

Noelia Rizo, Mandi Schaeffer Fry
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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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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Nonlinear Acoustics
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Random permutations
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Counting self-avoiding walks on the hexagonal lattice
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Algebra, matrices, and computers
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Positive Scalar Curvature and Applications
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Diophantine equations and why they are hard
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Mixed volumes and mixed integrals
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Computing with symmetries
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Topological recursion
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Solving quadratic equations in many variables
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Spaces of Riemannian metrics
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Computational Optimal Transport
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A few shades of interpolation
George Hagedorn, Caroline Lasser
Molecular quantum dynamics
Marco Radeschi
Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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Profinite groups
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The adaptive finite element method
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Tom Solomon
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Zero-dimensional symmetry
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The ternary Goldbach Problem
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Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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