**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

**Complex Analytic and Differential Geometry**

by

**Jean-Pierre Demailly**-

**Universite de Grenoble**

Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.

(

**10988**views)

**Lectures on Torus Embeddings and Applications**

by

**Tadao Oda**-

**Tata Institute of Fundamental Research**

Theory of torus embeddings has find many applications. The point of the theory lies in its ability of translating meaningful algebra-geometric phenomena into very simple statements about the combinatorics of cones in affine space over the reals.

(

**4359**views)

**Stacks Project**

by

**Johan de Jong, et al.**

The stacks project aims to build up enough basic algebraic geometry as foundations for algebraic stacks. This implies a good deal of theory on commutative algebra, schemes, varieties, algebraic spaces, has to be developed en route.

(

**4915**views)

**Lectures on Curves on Rational and Unirational Surfaces**

by

**Masayoshi Miyanishi**-

**Tata Institute of Fundamental Research**

From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.

(

**4141**views)