K-theory and arithmetic cohomology theories

by Thomas Nikolaus (WWU Münster)

Wednesday 23 Mar 2022, 15:15 → 16:15 Europe/Stockholm

Oskar Klein Auditorium (FR4) (AlbaNova Main Building)

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).