Math 549
Topic in algebraic topology
Spring, 2015.
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.

Lecture notes and
links shown in class




April 27, 2015
[Doug's flight delayed]
April 28, 2015
Colloquium style talk on the Kerviare invariant
May 1, 2015
Seminar style talk on the Gap Theorem
April 20, 2015
Homotopy colimits, fibrant spectra and degenerate base points
April 21, 2015
More homotopy theory of G-spectra
April 24, 2015
[Doug out of town]
April 13, 2015
Simplicial sets as a model category and ∞-categories.
April 14, 2015
Homotopical categories and left deformations.
April 17, 2015
Yan Zou reports on the homotopy category of a model category.
April 6, 2015
Mingcong Zeng's report on the Day convolution followed by a
short demonstration that pushouts need not preserve weak equivalences
April 7, 2015
Derived functors in homotopy theory and a disturbing example
April 10, 2015
[Seminar pretalk by Zhouli Xu]
March 30
The smash product of G-spectra as a left Kan extension
March 31
The equivalence of the categories of naive and genuine G-spectra, and the norm.
April 3, 2015
[Seminar pretalk by Andrew Salch]
March 23
Shouman Das reports on compactly generated weak Hausdorf spaces.
See McCord and pages 57-59 of Hovey
March 24
Shouman finishes his report and Yexin Qu begins his on Kan extensions.
See Chapter X of Mac Lane and Chapter 1 of Riehl
March 27
More from Yexin
March 16
Anthony Lanese reports on model categories
See Dwyer-Spalinski and Hovey
March 17
[Doug out of town]
March 20
[Doug out of town]
March 9-13, 2015
[Spring break]
March 2-6, 2015
[Doug out of town]
February 23, 2015
Some categorical notions
February 24, 2015
The definition of G-spectra
February 27, 2015
Properties of G-spectra
February 16-17, 2015
Students' solutions to Serre spectral sequence excercises
February 13, 2015
[Job talk]
February 9, 2015
The Steenrod operations and the cohomology of mod 2 Eilenberg-Mac Lane spaces
February 10, 2015
[Department meeting]
February 13, 2015
The Adams spectral sequence
February 2, 2015
The Serre spectral sequence in action
Video illustrating this calculation
Ext Chart site
February 3, 2015
[Job talk]
February 6, 2015
The Serre spectral sequence in action II
January 26, 2015
Reasons for studying spectra, and the Serre spectral sequence
January 27, 2015
[Job talk]
January 30, 2015
[Seminar pretalk by Anna Marie Bohmann]
January 19, 2015
[MLK Day]
January 20, 2015
[Job talk]
January 23, 2015
The original definition and examples of spectra
January 12-13, 2015
[Semester not started yet]
January 16, 2015
[Seminar pretalk by Mike Hill]

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