Our goal in this class is to give an introduction to the homotopy theory of spaces, considered broadly. Topics will include co/fibrations, CW complexes and their topological properties, Freudenthal's suspension theorem, stable homotopy theory and spectra, extraordinary cohomology theories, and spectral sequences, as well as a smattering of broader applications.
There will be three forms of graded work:
Our general policy about late work is strict: we will not permit assignments to be handed in late without some written mandate from a doctor or the university administration.
Our meeting times for lecture, for office hours, and with the CAs have all been posted below. I will be updating this webpage throughout the semester.
Assignments are to be submitted through the course's associted Canvas website.
| Due April 26th: | problem sheet |
||
| Due April 12th: | problem sheet |
||
| Due March 22nd: | problem sheet |
||
| Due March 1st: | problem sheet |
||
| Due February 15th: | problem sheet |
This is a work in progress.