Topology Seminar: Marc Hoyois

  • Date: 11/26/2014
  • Time: 15:15
Marc Hoyois, MIT

University of British Columbia


The six operations of Grothendieck in equivariant motivic homotopy theory


The formalism of six operations encodes the functorial behavior of (co)homology theories. It was first introduced by Grothendieck for the l-adic cohomology of schemes, and was later developed in a variety of other geometric contexts: D-modules on schemes, spectra parametrized by topological spaces, motivic spectra parametrized by schemes, etc. Equivariant homotopy theory is also best understood as a formalism of six operations for topological stacks. In this talk I will discuss the basics and the significance of this formalism, and I will then describe an extension of motivic homotopy theory to algebraic stacks.

Other Information: 

Location: 4133