Seminar on A1-topology, motives and K-theory

Cellular A1-homology of schemes associated with the Bruhat decomposition

by Anand Sawant (TIFR)

Europe/Moscow
958-115-833 (Zoom)

958-115-833

Zoom

Description

We will introduce the notion of cellular $\mathbb{A}^1$-homology of a smooth scheme admitting a nice stratification.  We will discuss how to orient the cellular $\mathbb{A}^1$-chain complex (whose homology is the cellular $\mathbb{A}^1$-homology) and make computations using it, with focus on the Bruhat decomposition of a split reductive group and the associated flag variety.  The talk is based on joint work with Fabien Morel.