Algebra/Topology Seminar

Speaker: Tomoyuki Abe

Title: Trace formalism for motivic cohomology

Abstract: Fundamental class plays an important role in cohomology theory. Given a smooth morphism, the construction of the fundamental class is a part of the formalism of Poincare duality. In SGA 4, fundamental class was constructed in a wider class: for a flat morphism. I would like to give a similar result for motivic cohomology, and discuss its infinity enhancement.