2018
Jan
11

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

4:00pm to 5:15pm

## Location:

Einstein 2

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.

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.