### 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 <ormsby@umich.edu>