EVENT DETAILS AND ABSTRACT

Title: Realization Functors on A^1-Homotopy
Speaker: Professor Dan Isaksen
Speaker Info: University of Notre Dame
Brief Description:
Special Note:
Abstract:

Morel and Voevodsky constructed topological realization functors from their homotopy category of schemes over $\mathbb{C}$ to the ordinary homotopy category of spaces. This allowed them to make partial calculations in the homotopy category of schemes.

We will discuss how to construct this functor so that it is a left Quillen functor. This cleaner framework allows us to construct analogous \'etale homotopy realization functors over arbitrary fields. The long-term goal is to use these functors as calculational tools in the homotopy category of schemes.