Report on "Geometry and representation theory of tensors for computer science, statistics and other areas."
arXiv:0810.3940
Abstract
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.
References in corpus (7)
- On degeneration of tensors and algebras
- Quantum marginal problem and representations of the symmetric group
- On Nonzero Kronecker Coefficients and their Consequences for Spectra
- Geometric Complexity Theory VI: the flip via saturated and positive integer programming in representation theory and algebraic geometry
- Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5
- A note on certain Kronecker coefficients
- On partial polynomial interpolation
Cited by in corpus (7)
- Computing symmetric rank for symmetric tensors
- The stability of the Kronecker products of Schur functions
- Tensor ranks on tangent developable of Segre varieties
- Partially symmetric variants of Comon's problem via simultaneous rank
- Hankel tensor decompositions and ranks
- Remarks on the symmetric rank of symmetric tensors
- Low Rank Symmetric Tensor Approximations