Motivic invariants of p-adic fields, by Kyle M. Ormsby

I provide a complete analysis of the motivic Adams spectral sequences converging to the bigraded coefficients of the 2-completions of the motivic spectra BPGL and kgl over p-adic fields, p>2. The former spectrum is the algebraic Brown-Peterson spectrum at the prime 2 (and hence is part of the study of algebraic cobordism), and the latter is a certain BPGL-module that plays the role of a ``connective" motivic algebraic K-theory spectrum. This is the first in a series of two papers investigating motivic invariants of p-adic fields, and it lays the groundwork for an understanding of the motivic Adams-Novikov spectral sequence over such base fields.

• 0953.bib (229 bytes)
• BPGLmotASS.eps (184564 bytes)
• HF.eps (48424 bytes)
• pAdicMotivicInvariants.dvi (92072 bytes) [February 26, 2010]
• pAdicMotivicInvariants.dvi.gz (38803 bytes)
• pAdicMotivicInvariants.pdf (256303 bytes)
• pAdicMotivicInvariants.ps.gz (185529 bytes)

Kyle M. Ormsby <ormsby@umich.edu>