Math 6950: Topics in algebraic topology

Instructor: Mladen Bestvina
Office: JWB 210
Office hours: TBD or by appointment
Meets: MWF 12:55-1:45, GC 4660

We will start with higher homotopy groups from Hatcher's book: Algebraic Topology. We will also discuss spectral sequences and how to use them to compute homology and cohomology. But the main topic in the class will be characteristic classes, and I will for the most part follow the classic book by Milnor and Stasheff. I hope to explain Milnor's construction of an exotic 7-sphere (smooth manifold which is homeomorphic to the 7-sphere but not diffeomorphic to it).

Prerequisites: 6510-20

You can contact me by email.

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