Searching for the Monster in the Trees

Instantáneas de la actualidad matemática desde Oberwolfach

Searching for the Monster in the Trees

The Monster finite simple group is almost unimaginably large, with about 8×1053 elements in it. Trying to understand such an immense object requires both theory and computer programs. In this snapshot, we discuss finite groups, representations, and finally Brauer trees, which offer some new understanding of this vast and intricate structure.

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Área matemática

Álgebra y Teoría de números

Autor(es)

David A. Craven

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2022-003-EN

Descargar PDF

snapshot-2022-003.pdf

PDF

snapshots: overview

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The geometry of fair division
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The periodic tables of algebraic geometry
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A tale of three curves
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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
Isaac Goldbring
Ultrafilter methods in combinatorics
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Invitation to quiver representation and Catalan combinatorics
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Vertex-to-Self Trajectories on the Platonic Solids
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The Interaction of Curvature and Topology
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Formation Control and Rigidity Theory
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Expander graphs and where to find them
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Mixed-dimensional models for real-world applications
Pietro Milici
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Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
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Configuration spaces and braid groups
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Nonlinear Acoustics
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Random permutations
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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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Snake graphs, perfect matchings and continued fractions
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Mixed volumes and mixed integrals
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Number theory in quantum computing
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The codimension
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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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Computational Optimal Transport
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A few shades of interpolation
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Molecular quantum dynamics
Marco Radeschi
Closed geodesics on surfaces and Riemannian manifolds
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Mathematische Modellierung von Krebswachstum
Michael Baake, David Damanik, Uwe Grimm
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
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Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Symmetry and characters of finite groups
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Quantum diffusion
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Chaos and chaotic fluid mixing
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Friezes and tilings
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Zero-dimensional symmetry
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Minimizing energy
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Billiards and flat surfaces
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Operator theory and the singular value decomposition
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The Kadison-Singer problem
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Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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What does ">" really mean?
Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Área matemática

Álgebra y Teoría de números
Análisis
Didáctica y Educación
Matemática discreta y Fundamentos
Geometría y Topología
Cálculo numérico y científico
Teoría de la probabilidad y Estadística

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Informática
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