CORDIS Project
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This project explores the cost of repetitive tasks in various fields like computer science and mathematics. It focuses on developing new algorithms and methods for direct-sum problems, including fast matrix multiplication and Shannon capacity, using a novel approach called asymptotic spectrum duality.
What is the cost of a task if we have to perform it many times?
This fundamental question appears throughout computer science (direct-sum problems), mathematics, and physics.
Challenging, protagonistic problems of this kind, that play a central role in this proposal, are fast matrix multiplication in algebraic complexity theory, Shannon capacity in graph theory, efficient asymptotic entanglement transformations in quantum information, and the cap set problem in additive combinatorics.
Despite tr…
UNIVERSITEIT VAN AMSTERDAM
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