Central extensions of algebraic groups via cellular $\mathbb{A}^1$-homology

Abstract: I will outline the computation of the cellular $\mathbb{A}^1$-homology of a split, semisimple, simply connected algebraic group in low degrees and use it to describe the group of central extensions of such a group by a suitable strictly $\mathbb{A}^1$-invariant sheaf. These results in particular yield a motivic proof of the result of Brylinski and Deligne classifying central extensions of such algebraic groups by $K_2$. The talk is based on joint work with Fabien Morel.

commutative algebraalgebraic geometryalgebraic topologygeometric topologyK-theory and homology

Audience: researchers in the topic

electronic Algebraic K-theory Seminar

Series comments: Description: Research seminar on algebraic K-theory