Vector Bundles and Topological K-theory

Summer 2023

In the summer of 2023 I organized an infrequent reading seminar on vector bundles and topological K-theory.  We used Hatcher's book on Vector bundles and K-theory.

7/7: Basics of Vector Bundles (Such as Chapter 1.1 of Hatcher or equivalent)

7/14: Classifying Vector Bundles

7/21: The Functor K(X) and Bott Periodicity

7/28: More of the same

8/11: Stiefel-Whitney and Chern Classes

Resources:

Characteristic Classes Milnor & Stasheff

Vector Bundles and K-Theory Hatcher

A Geometric Introduction to K-theory Dugger

K-Theory Atiyah

This course run by Bert Guillou at UK