Complexity and geometry of bilinear maps
type: Item
instance of: scholarly article
title: Complexity and geometry of bilinear maps
zbMATH Open document ID: 1094.12003
author: Volker Strassen
published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
publication date: 2005-06-23T00:00:00Z
review text: This is the written exposition of a talk for a general mathematical audience, held by the author at the DMV-meeting. Complexity and degeneration of bilinear maps may be described by a single data structure: the asymptotic spectrum. The paper gives an introduction to this theory. As a red thread it uses \(\omega\), the exponent of matrix multiplication. The paper has been supplemented by footnotes containing more details and by an appendix, which is an invitation to application-oriented algebraists and geometers to be become acquainted with the topic. It contains short new proofs for some results in the main text, conjectures, and relations to other topics.
reviewed by: Josef Schicho
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 53D20
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 68Q17
zbMATH DE Number: 2182695
zbMATH Keywords: complexity
zbMATH Keywords: matrix multiplication
zbMATH Keywords: bilinear map
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2182695