# Tom Bachmann (UiO) - Projective modules and motivic homotopy theory

I will explain how motivic homotopy theory can be used to attack problems regarding finite projective modules over smooth affine k-algebras. I will recall in particular the foundational theorem of Morel and Asok-Hoyois-Wendt, and the construction of the Barge-Morel Euler class. Time permitting, I will explain recent progress on Murthy's splitting conjecture.

Published Sep. 5, 2022 8:34 AM
- Last modified Sep. 18, 2022 8:24 PM