English

On P vs. NP, Geometric Complexity Theory, and the Riemann Hypothesis

Computational Complexity 2009-08-19 v2

Abstract

Geometric complexity theory (GCT) is an approach to the PP vs. NPNP and related problems. A high level overview of this research plan and the results obtained so far was presented in a series of three lectures in the Institute of Advanced study, Princeton, Feb 9-11, 2009. This article contains the material covered in those lectures after some revision, and gives a mathematical overview of GCT. No background in algebraic geometry, representation theory or quantum groups is assumed.

Keywords

Cite

@article{arxiv.0908.1936,
  title  = {On P vs. NP, Geometric Complexity Theory, and the Riemann Hypothesis},
  author = {Ketan D. Mulmuley},
  journal= {arXiv preprint arXiv:0908.1936},
  year   = {2009}
}

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71 pages