Lectures on Functor Homology

Released on by Vincent Franjou
preview-18

  • Lectures on Functor Homology Book Detail

  • Author : Vincent Franjou
  • Release Date : 2015-12-08
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 154
  • ISBN 13 : 3319213059
  • File Size : 10,10 MB
DOWNLOAD BOOK

Lectures on Functor Homology by Vincent Franjou PDF Summary

Book Description: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. In the lectures by Aurélien Djament, polynomial functors appear as coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization. Djament’s theorem states that this stable homology can be computed using only the homology with trivial coefficients and the manageable functor homology. The series includes an intriguing development of Scorichenko’s unpublished results. The lectures by Wilberd van der Kallen lead to the solution of the general cohomological finite generation problem, extending Hilbert’s fourteenth problem and its solution to the context of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin’s strict polynomial functors, a conceptual form of modules over the Schur algebra. Roman Mikhailov’s lectures highlight topological invariants: homoto py and homology of topological spaces, through derived functors of polynomial functors. In this regard the functor framework makes better use of naturality, allowing it to reach calculations that remain beyond the grasp of classical algebraic topology. Lastly, Antoine Touzé’s introductory course on homological algebra makes the book accessible to graduate students new to the field. The links between functor homology and the three fields mentioned above offer compelling arguments for pushing the development of the functor viewpoint. The lectures in this book will provide readers with a feel for functors, and a valuable new perspective to apply to their favourite problems.

Disclaimer: www.yourbookbest.com does not own Lectures on Functor Homology books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lectures on Functor Homology

Lectures on Functor Homology

File Size : 63,63 MB
Total View : 9339 Views
DOWNLOAD

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has

Lecture Notes in Algebraic Topology

Lecture Notes in Algebraic Topology

File Size : 98,98 MB
Total View : 4865 Views
DOWNLOAD

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies,

Lecture Notes on Motivic Cohomology

Lecture Notes on Motivic Cohomology

File Size : 68,68 MB
Total View : 3869 Views
DOWNLOAD

The notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grot

Stable Homotopy and Generalised Homology

Stable Homotopy and Generalised Homology

File Size : 63,63 MB
Total View : 3569 Views
DOWNLOAD

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of whi