Algebraic Geometry Seminar: Arc spaces and equivariant cohomology II

  • Date: 11/09/2009
Dave Anderson (University of Washington)

University of British Columbia


Let G be an algebraic group acting on a smooth complex variety X. In joint
work with Alan Stapledon, we present a new perspective on the G-equivariant
cohomology of X, which replaces the action of G on X with the induced action
of the respective arc spaces. I will explain how this point of view allows
one to interpret the cup product of classes of subvarieties geometrically
via contact loci in the arc space, at least under suitable hypotheses on the
singularities. As an explicit example, I'll discuss GL_n acting on the space
of matrices.


4:00pm - 5:00pm, WMAX 110.