Geometric complexity theory and matrix powering

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Geometric complexity theory and matrix powering

Valiant’s famous determinant versus permanent problem is the flagship problem in algebraic complexity theory. Mulmuley and Sohoni (Siam J Comput 2001, 2008) introduced geometric complexity theory, an approach to study this and related problems via algebraic geometry and representation theory. Their approach works by multiplying the permanent polynomial with a high power of a linear form (a proc...

متن کامل

Geometric Complexity Theory: Introduction

Foreword These are lectures notes for the introductory graduate courses on geometric complexity theory (GCT) in the computer science department, the university of Chicago. Part I consists of the lecture notes for the course given by the first author in the spring quarter, 2007. It gives introduction to the basic structure of GCT. Part II consists of the lecture notes for the course given by the...

متن کامل

Chaos/Complexity Theory and Education

Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inc...

متن کامل

Geometric Complexity Theory: an introduction for geometers

This article is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory (GCT). It is written to be accessible to graduate students. Numerous open questions in algebraic geometry and representation theory relevant for GCT are presented.

متن کامل

Lecture 1 : Geometric Complexity Theory Overview

In this exposition, we give a overview of the GCT approach to solve fundamental lower bound problems in algebraic models of computation. 1.1 Lower bound problems Consider a polynomial f(~x) ∈ Z[~x] with integral coefficients. The non-uniform version of the P v/s NP problem, prescribes a specific such f and asks if it can be shown not to have polynomial size arithmetic circuits over F2. The char...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Differential Geometry and its Applications

سال: 2017

ISSN: 0926-2245

DOI: 10.1016/j.difgeo.2017.07.001