Math 550
Equivariant topology
Fall, 2012.
Lecture notes.

This page will give the tablet notes I wrote during each lecture as the semester progresses. It is written in reverse chronological order, so you see the most recent notes first. However this means that helpful links appear when a topic is first mentioned chronologically, meaning the last time it appears below.

Handwritten lecture notes and links shown in class
Monday	Wednesday	Friday
December 10, 2012 Abel Conference talk on Kervaire-Milnor Slides	TUESDAY December 11, 2012 The connection between the Kervaire invariant problem and equivariant stable homotopy theory.	WEDNESDAY December 12, 2012 A sketch of the Periodicity Theorem .
December 3, 2012 The proof of the Reduction Theorem IV	December 5, 2012 Finishing proof of the Reduction Theorem and introducing Kervaire-Milnor	December 7, 2012 Abel Conference talk on Kervaire-Milnor Slides
November 26, 2012 The proof of the Reduction Theorem I.	November 28, 2012 The proof of the Reduction Theorem II.	November 30, 2012 The proof of the Reduction Theorem III.
November 19, 2012 Toward a proof of the Slice Theorem.	TUESDAY November 20, 2012 Deriving the Slice Theorem from the Reduction Theorem.	Thanksgiving break
November 12, 2012 The geometric interpretation of the formal group law.	November 14, 2012 From cobordism to K-theory via the Todd genus. Niles Johnson's home page	November 16, 2012 The norm functor.
November 5, 2012 The slice spectral sequence for MUR, part II.	November 7, 2012 Formal group laws.	November 9, 2012 No class
October 29, 2012 Geometric fixed points	TUESDAY October 30, 2012 The slice spectral sequence for bu and K part I. WEDNESDAY October 31, 2012 The slice spectral sequence for bu and K part II. Spectral sequence chart.	November 2, 2012 The slice spectral sequence for MUR, part I.
October 15, 2012 More on the C4 calculation	TUESDAY October 16, 2012 Still more on the C4 calculation. WEDNESDAY October 17, 2012 Don's talk on Eilenberg-Mac Lane spectra for Mackey functors	October 19, 2012 Two new flavors of fixed points
October 8, 2012 FALL BREAK	October 10, 2012 Dillon's talk on 0-slices Annotated spectral sequence chart There was a handout consisting of pages 13 and 15 of this preprint.	October 12, 2012 More on 0-slices and a C4 calculation
October 1, 2012 Properties of the slice filtration II.	TUESDAY October 2, 2012 Properties of the slice filtration III. WEDNESDAY October 3, 2012 The equivariant homology of S0 I.	October 5, 2012 The equivariant homology of S0 II. Lemma 9 in the notes refers to this preprint.
September 24, 2012 The classical Postnikov filtration.	September 26, 2012 The slice filtration. Mike Hill's Slice Primer	September 28, 2012 Properties of the slice filtration I.
September 17, 2012 Patrick's talk on Greenlees-May 1992. Link to the paper.	September 19, 2012 The rest of Patrick's talk and RO(G) graded homotopy groups.	September 21, 2012 More about RO(G) and G-spectra. Prof. Denis Auroux being hacked.
September 10, 2012 Computing Mackey functor homology.	September 12, 2012 More Mackey functor homology.	September 14, 2012 NASA spoof video Equivariant spectra. Recommended reading: Greenlees-May 1995 A good general introduction Mandell-May 2002 The original definition of equivariant orthogonal spectra. HHR 2010, Appendices A and B A more useful definition of them.
	September 5, 2012 More definitions G-CW complexes and G-equivalences.	September 7, 2012 Equivariant cellular chain complexes, homotopy groups and Mackey functors.
		August 31, 2012 Basic definitions

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