Seminar Algebra and Geometry: Joseph Landsberg (Texas A&M University)

On the geometry of matrix multiplication

In 1969, Strassen discovered the standard algorithm for multiplying two n×n matrices is not the optimal one. Subsequent work has led to the astounding conjecture that as n goes to infinity it is nearly as easy to multiply matrices as it is to add them. I will explain uses of algebraic geometry, differential geometry and representation theory in the study of this conjecture.

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