Geometric Complexity Theory: An Introduction for Geometers
by J.M. Landsberg
Publisher: arXiv 2013
Number of pages: 38
Description:
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.
Download or read it online for free here:
Download link
(440KB, PDF)
Similar books
Linear Systems Theory and Introductory Algebraic Geometryby Robert Hermann - Math Sci Press
Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.
(9086 views)
Lectures on Algebraic Groupsby Alexander Kleshchev - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
(7376 views)
Introduction To Algebraical Geometryby 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.
(2011 views)
Algebraic Geometryby Andreas Gathmann - University of Kaiserslautern
From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.
(8834 views)