Title of paper: The microstable Adams-Novikov spectral sequence
Author: Douglas C. Ravenel
AMS classification numbers: Primary 55Q10, 55N22; Secondary 55T15, 55Q45, 55Q51
Address of Author: University of Rochester, Rochester, NY 14627
Email address of author: drav@math.rochester.edu
Abstract: In the Adams--Novikov spectral sequence one considers Ext
groups over the Hopf algebroid $\Gamma =BP_{*}(BP)$. There are spectra
$T(m)$ with $BP_{*} (T (m))=BP_{*}[t_{1},...,t_{m}]$, which leads
one to replace $\Gamma $ by $\Gamma (m+1)=\Gamma / (t_{1},...
,t_{m})$. The corresponding Ext groups have certain structural
features that are independent of $m$. In this paper we set up an
algebraic framework for studying the limit as $m \to \infty $. In
particular there is an analog of the chromatic spectral sequence in
which the Morava stabilizer group gets replaced by an infinitesimal
analog, hence the title.