Algebraic Geometry Seminar

Eric Friedlander (Northwestern University)

"Algebraic K-theory and algebraic cycles"

Ever since Grothendieck first introduced K-theory, algebraic geometers have linked K-theory to algebraic cycles. In algebraic topology, Atiyah-Hirzebruch established the well-known relationship between topological K-theory and singular cohomology. In algebraic geometry, we now have the analogous relationship between algebraic K-theory and Bloch's higher Chow groups (or Suslin-Voevodsky motivic cohomology).

This lecture will discuss on-going work with Mark Walker in which we consider "semi-topological K-theory" and "morphic cohomology", interpolating between the algebro-geometric and topological contexts.