Topological Complexity, Robotics and Social Choice

Snapshots of modern mathematics from Oberwolfach

Topological Complexity, Robotics and Social Choice

Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the wider area of Applied Algebraic Topology. Surprisingly, the same mathematics gives insight into the question of creating social choice functions, which may be viewed as algorithms for making decisions by artificial intelligences.

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Mathematical subjects

Geometry and Topology

Connections to other fields

Engineering and Technology
Humanities and Social Sciences

Author(s)

Greg Lupton, John Oprea, José Gabriel Carrasquel Vera

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-005-EN

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snapshots-2018-005.pdf

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snapshots: overview

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Topological Complexity, Robotics and Social Choice
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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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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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