$K$-theory of inverse limits

Abstract: We will recall the recent notion of a Mittag-Leffler inverse sequence of DG categories, and sketch a proof that $K$-theory specturm of a suitably defined limit is identified with the inverse limit of $K$-theory spectra. This in particular applies to the category of nuclear modules on a formal scheme.

mathematical physicscommutative algebraalgebraic geometrycategory theoryK-theory and homologyquantum algebra

Audience: researchers in the topic

Conference on Algebraic Geometry