English

The Equivalence of Grayson and Friedlander-Suslin Spectral Sequences

K-Theory and Homology 2013-10-01 v1 Algebraic Geometry

Abstract

This thesis establishes the equivalence of Grayson and Friedlander-Suslin spectral sequences, that was previously only known for the respective E_2-terms. We develop the necessary techniques regarding K_0-presheaves of spectra, building on the work of M. Walker and construct certain filtrations on the K-theory presheaf of spectra that we use as intermediate steps in obtaining the equivalence of the filtrations.

Keywords

Cite

@article{arxiv.1309.7597,
  title  = {The Equivalence of Grayson and Friedlander-Suslin Spectral Sequences},
  author = {Oleg Podkopaev},
  journal= {arXiv preprint arXiv:1309.7597},
  year   = {2013}
}

Comments

This is the dissertation I submitted for my PhD at Northwestern University in June 2012