**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

**Lectures on Moduli of Curves**

by

**D. Gieseker**-

**Tata Institute of Fundamental Research**

These lecture notes are based on some lectures given in 1980. The object of the lectures was to construct a projective moduli space for stable curves of genus greater than or equal two using Mumford's geometric invariant theory.

(

**8327**views)

**Linear Systems Theory and Introductory Algebraic Geometry**

by

**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.

(

**13272**views)

**Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group**

by

**J.P. Murre**-

**Tata Institute of Fundamental Research**

The purpose of this text is to give an introduction to Grothendieck's theory of the fundamental group in algebraic geometry with the study of the fundamental group of an algebraic curve over an algebraically closed field of arbitrary characteristic.

(

**9063**views)

**Algebraic Geometry over the Complex Numbers**

by

**Donu Arapura**-

**Purdue University**

Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author maintains a reasonable balance between rigor and intuition; so it retains the informal quality of lecture notes.

(

**12310**views)