2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137417Geometric complexity theory (GCT) is an approach to the $P$ vs. $NP$ and related problems through algebraic geometry and representation theory. This article gives a high-level exposition of the basic plan of GCT based on the principle, called the flip, without assuming any background in algebraic geometry or representation theory.103 pagesComputational ComplexityOn P vs. NP, Geometric Complexity Theory, and the Flip I: a high level viewtext