Motivic homotopy type of a log scheme
Appears in collection : A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Given a log scheme X over the field of complex numbers Kato and Nakayama associated with X a topological space $X_{log}$. I will show that the homotopy type of $X_{log}$ is motivic in the sense of Morel and Voevodsky. The talk is based on a work in progress with Nick Howell.