Math 276-2, Topics in Topology
Spring 2005, Tu/Th 11:00-12:30 in 285 Cory

Elliptic Cohomology via Formal Groups.

In this topics course we'll explain one particular extra-ordinary cohomology theory, elliptic cohomology, from the purely homotopy theoretical point of view using formal group laws. This will lead us all the way to the theory of topological modular forms of Hopkins and Miller.

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References include:

J. F. Adams, stable homotopy and generalised homology, Chicago Lecture Notes in Math., U. of Chicago Press 1974.
R.M. Switzer, Algebraic Topology - Homology and Homotopy, Grundlehren der math. Wissenschaften 212, Springer 1975.
D. C. Ravenel, Complex Cobordism and Stable Homotopy A.M.S. Chelsea Publishing 2004 (2nd edition).

Andre Henriques homepage with a picture of A(2).

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Homework 1, due Feb. 10

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Homework 2, due Feb. 24

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Homework 3, due March 10

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Homework 4, due March 31

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