Basic Notions: Michael Hopkins (Harvard) - Homotopy theory and algebraic vector bundles

Abstract: This talk will describe joint work with Aravind Asok
and Jean Fasel using the methods of homotopy theory to construct new
examples of
algebraic vector bundles. I will describe a natural conjecture
which, if
true, implies that over the complex numbers the classification
of algebraic
vector bundles over smooth affine varieties admitting an
algebraic cell
decomposition coincides with the classification of topological
complex vector bundles.


Thu, 11/01/2018 - 16:00 to 17:15


Einstein 2