#
Geometry and representation theory of tensors for computer science, statistics and other areas

July 21 to July 25, 2008
at the

American Institute of Mathematics,
San Jose, California

organized by

Joseph Landsberg,
Lek-Heng Lim,
Jason Morton,
and Jerzy Weyman

## Original Announcement

This workshop will be devoted to
translating questions from quantum computing, complexity theory,
statistical learning theory, signal processing, and data analysis
to problems in geometry and representation theory. In all these areas
varieties in spaces of tensors invariant under linear changes
of coordinates appear as central objects of study. Despite their
different origins, there are striking similarities among the
relevant varieties and this workshop will study ways of approaching
questions such as finding defining equations, hidden symmetries,
and singularities.
The main topics for the workshop are

- Geometric approaches to P?=NP
- Algebraic statistics, particularly hidden variable models
- Multi-linear techniques in data analysis and signal processing
- Entanglement in quantum information theory

By the end of the workshop, researchers in the relevant areas will be
up to date on what is known about their questions from a geometric
perspective and geometers will have a list of open questions to work on.
We hope this workshop is the beginning of collaborations between
mathematicians and researchers in the targeted areas.
This workshop is a followup to
an MSRI program with the same title.

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.

A detailed summary of the mathematical activities during the workshop, by Luke Oeding.

Papers arising from the workshop: