Thomas Nikolaus: K-theory and arithmetic cohomology theories

Location

FR4 (Oskar Klein), Albanova (directions available here ).

Schedule

14:15–15:00 Pre-colloquium  by Thomas Blom in FB52

15:15–16:15 Colloquium lecture by Thomas Nikolaus.
16:15–17:00 SMC social get together with refreshments.

Abstract

Algebraic K-theory is an invariant of rings. It has several relations to questions in geometric topology, homotopy theory, algebraic geometry and number theory. Recently there have been advances in our understanding how to understand and compute algebraic K-theory using arithmetic cohomology theories. We will describe sample results, how the relation philosophically works and how it fostered important advances in p-adic cohomology (notably prismatic cohomology).