### Thomason's Theorem for Varieties over Algebraically Closed Fields, by Mark E. Walker

We present a novel proof of Thomason's theorem relating Bott inverted
algebraic K-theory with finite coefficients and etale cohomology
for smooth varieties over algebraically closed ground fields. Our
proof involves first introducing a new theory, which we term algebraic
K-homology, and proving it satisfies etale descent (with finite
coefficients) on the category of normal, Cohen-Macaulay
varieties. Then, we prove algebraic K-homology and algebraic
K-theory (each taken with finite coefficients) coincide on smooth
varieties upon inverting the Bott element.

Mark E. Walker <mwalker@math.unl.edu>