Abstract

This workshop focuses on the interaction between algebraic K-theory and chromatic homotopy theory. Algebraic K theory translates fundamental arithmetic and geometric information about a ring or scheme into homotopy theory. The chromatic perspective is a fundamental organizing principle of homotopy theory, decomposing a space or spectrum into certain `prime localizations-. Recent major advances use these localizations to prove descent results for algebraic K theory, or give vanishing results for K-theory in certain cases. This conference gathers mathematicians working in algebraic K-theory and in chromatic homotopy theory to explore these recent advances, work on open problems, and set the syllabus for future work in the field.