English

An introduction to geometric complexity theory

Algebraic Geometry 2015-09-09 v1 Computational Complexity Differential Geometry Representation Theory

Abstract

I survey methods from differential geometry, algebraic geometry and representation theory relevant for the permanent v. determinant problem from computer science, an algebraic analog of the P v. NP problem.

Keywords

Cite

@article{arxiv.1509.02503,
  title  = {An introduction to geometric complexity theory},
  author = {J. M. Landsberg},
  journal= {arXiv preprint arXiv:1509.02503},
  year   = {2015}
}

Comments

Draft of article to appear in the Newsletter of the European Mathematical Society. 9 pages in original, arXiv version has extra spaces due to arXiv processing

R2 v1 2026-06-22T10:52:08.692Z