Waves and incidences

Snapshots of modern mathematics from Oberwolfach

Waves and incidences

The wave equation in Euclidean spaces describes many natural phenomena such as sound, light, or water waves. We explore how its solutions are related to the geometric problem of how long thin cylinders can intersect each other and discuss a related open problem.

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Mathematical subjects

Analysis
Geometry and Topology

Author(s)

Po-Lam Yung

License

DOI (Digital Object Identifier)

10.14760/SNAP-2024-001-EN

Download PDF

snapshot-2024-001.pdf

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snapshots: overview

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Reflections on hyperbolic space
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Invitation to quiver representation and Catalan combinatorics
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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
Lukas Pottmeyer
News on quadratic polynomials
Felix Günther
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Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
Laurent Bartholdi
Profinite groups
Dietmar Gallistl
The adaptive finite element method
Steven Klee
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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Eugenio Giannelli, Jay Taylor
Symmetry and characters of finite groups
Maria Dostert, Stefan Krupp, Jan Hendrick Rolfes
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Tomasz Szemberg
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Éric Fusy
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Ulrich Krähmer
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Sebastian Funk
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Quantum diffusion
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Billiards and flat surfaces
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Alain Valette
The Kadison-Singer problem
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Statistics and dynamical phenomena
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Dirichlet Series

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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