Prof. D. Kotschick: Seminar on vector bundles

• Time and place: Wed 10--12 in B 251
• Summary: We will study vector bundles. After some basic introductory material we will cover K-theory up to the proof of Bott periodicity (in the complex case), and then delve into the theory of characteristic classes.
  
• Intended audience: Master and PhD students of mathematics and/or physics. The seminar is suitable as a continuation of my topology course last year, and as a complement to Mathematical Gauge Theory II.
• Prerequisites: A basic knowledge of differential and/or algebraic topology, including cohomology theory.
• References:
  Talks will be based on:
  [H] A. Hatcher: Vector Bundles and K-Theory
  Another useful reference is:
  [MS] J.W. Milnor and J.D. Stasheff: Characteristic classes, Princeton University Press
  
• List of talks:
  10. Nov. D. Kotschick: Introduction to vector bundles
  17. Nov. D. Novicic: K-Theory
  24. Nov. L. Komisel: Bott periodicity
  1. Dec. L. Böke: Applications
  8. Dec. L. Schoenlinner: Stiefel-Whitney and Chern classes I
  15. Dec. L. Schoenlinner: Stiefel-Whitney and Chern classes II
  12. Jan. S. Langenscheidt: Euler and Pontryagin classes
  19. Jan. P. Pilatus: Obstruction theory
  26. Jan. E. Hsiao: K-theory and Fredholm operators