Geometric Complexity Theory: An Introduction for Geometers
by J.M. Landsberg
Publisher: arXiv 2013
Number of pages: 38
This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory (GCT). The article is written to be accessible to graduate students. Numerous open questions in algebraic geometry and representation theory relevant for GCT are presented.
Home page url
Download or read it online for free here:
by A. Clement Jones - Oxford University Press
The author's aim has been to produce a book suitable to the beginner who wishes to acquire a sound knowledge of the more elementary parts of the subject, and also sufficient for the candidate for a mathematical scholarship.
by Michael Artin - Tata Institute of Fundamental Research
These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.
by Herbert Clemens, János Kollár - Cambridge University Press
The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.
by Arthur Ogus - University of California, Berkeley
Logarithmic geometry deals with two problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.