Symmetric Polynomials and Steenrod Operations

Date: 
2018/12/10 Mon 16:30 - 18:00
Room: 
Room 609, Building No.6
Speaker: 
Koichi Inoue
Affiliation: 
Tokyo City University
Abstract: 

Mod 2 cohomology of $BO(n)$ is generated by Stiefel-Whitney classes which are symmetric polynomials in $H^*BO(1)^n$. Symmetric polynomials are written as a certain form like Milnor bases of Steenrod oparations, and this leads a different form of Wu formula and Milnor operations on Stiefel-Whitney classes.