### K-theory hypercohomology spectra of number rings at the prime 2, by Stephen A. Mitchell

Suppose R is a number ring admitting a real embedding. The study of the
2-primary homotopy-type of the etale K-theory spectrum of R is complicated by
the fact that R has infinite etale cohomological dimension. It is possible
to avoid the complications, however, by working on an auxiliary site
introduced by Thomas Zink. Many of the results for the odd-primary
homotopy-type, obtained earlier in joint work with Bill Dwyer, can then be
extended to the 2-primary case.

Stephen A. Mitchell <mitchell@math.washington.edu>