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Secant varieties and the complexity of matrix multiplication
Landsberg, J.M.
2022
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e-ISSN
2464-8728
Abstract
This is a survey primarily about determining the border rank of tensors, especially those relevant for the study of the complexity of matrix multiplication. This is a subject that on the one hand is of great significance in theoretical computer science, and on the other hand touches on many beautiful topics in algebraic geometry such as classical and recent results on equations for secant varieties (e.g., via vector bundle and representation-theoretic methods) and the geometry and deformation theory of zero dimensional schemes.
Publisher
EUT Edizioni Università di Trieste
Source
J.M. Landsberg, "Secant varieties and the complexity of matrix multiplication" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)", EUT Edizioni Università di Trieste, Trieste, 2022, pp. 291-311
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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