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 | ||
Monday |
Tuesday |
Friday |
| 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] |
|