On the containment problem

Snapshots of modern mathematics from Oberwolfach

On the containment problem

Mathematicians routinely speak two languages: the language of geometry and the language of algebra. When translating between these languages, curves and lines become sets of polynomials called “ideals”. Often there are several possible translations. Then the mystery is how these possible translations relate to each other. We present how geometry itself gives insights into this question. 

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Mathematical subjects

Algebra and Number Theory

Connections to other fields

Computer Science

Author(s)

Tomasz Szemberg

License

DOI (Digital Object Identifier)

10.14760/SNAP-2016-003-EN

Download PDF

2016-003-szemberg-szpond.pdf

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snapshots: overview

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The periodic tables of algebraic geometry
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Reflections on hyperbolic space
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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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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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The adaptive finite element method
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The Willmore Conjecture
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Prime Tuples in Function Fields
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On the containment problem
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Quantum diffusion
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Zero-dimensional symmetry
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Billiards and flat surfaces
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The Kadison-Singer problem
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Statistics and dynamical phenomena
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Arrangements of lines
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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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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