Report on "Geometry and representation theory of tensors for computer science, statistics and other areas."

Details Report on "Geometry and representation theory of tensors for computer science, statistics and other areas." Report on "Geometry and representation theory of tensors for computer science, statistics and other areas."

2008-10-21

arxiv.org/abs/0810.3940v1

Mathematics

Algebraic Geometry

Scientific paper

This is a technical report on the proceedings of the workshop held July 21 to July 25, 2008 at the American Institute of Mathematics, Palo Alto, California, organized by Joseph Landsberg, Lek-Heng Lim, Jason Morton, and Jerzy Weyman. We include a list of open problems coming from applications in 4 different areas: signal processing, the Mulmuley-Sohoni approach to P vs. NP, matchgates and holographic algorithms, and entanglement and quantum information theory. We emphasize the interactions between geometry and representation theory and these applied areas.

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