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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
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DOI (Digital Object Identifier)
10.14760/SNAP-2018-005-EN
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snapshots: overview
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