$KO$-theory of flag manifolds (exceptional cases)

Date: 
2016/01/18 Mon 15:00 - 16:00
Room: 
Room 609, Building No.6
Speaker: 
Akihito Ohsita
Affiliation: 
Osaka University of Economics
Abstract: 

For a compact simple Lie group $G$, I here use the word flag manifold to mean $G/T$, where $T$ is a maximal torus. The $KO$-theory of the flag manifolds has been calculated by several authors such as Kishimoto, Kono, Ohsita, Yagita, and Zibrowius. The last two use some algebraic geometry and i heard recently Zibowius showed a type-independent method. I shall talk about a way to compute it in a manner of algebraic topology, especially for exceptional group cases.