English

Report on "Mathematical Aspects of P vs. NP and its Variants."

Computational Complexity 2012-03-22 v2 Algebraic Geometry Number Theory Representation Theory

Abstract

This is a report on a workshop held August 1 to August 5, 2011 at the Institute for Computational and Experimental Research in Mathematics (ICERM) at Brown University, Providence, Rhode Island, organized by Saugata Basu, Joseph M. Landsberg, and J. Maurice Rojas. We provide overviews of the more recent results presented at the workshop, including some works-in-progress as well as tentative and intriguing ideas for new directions. The main themes we discuss are representation theory and geometry in the Mulmuley-Sohoni Geometric Complexity Theory Program, and number theory and other ideas in the Blum-Shub-Smale model.

Keywords

Cite

@article{arxiv.1203.2888,
  title  = {Report on "Mathematical Aspects of P vs. NP and its Variants."},
  author = {Joshua A. Grochow and Korben Rusek},
  journal= {arXiv preprint arXiv:1203.2888},
  year   = {2012}
}

Comments

Modified Open Problem 10 and a few small edits