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.

Kyle M. Ormsby <>