Math 542: Topics in Advanced Topology: Spring 2011 Advanced Algebraic Topology
Instructor:
Prof. Shelly Harvey
myfirstname at rice dot edu
Herman Brown 446
x3659
Time and Location: TR 10:50AM - 12:05PM in HB 453
Office Hours: W 10:00AM - 11:00AM, R 1:00PM - 2:00PM, or any other time you can find me
in my office
Prerequisites: Math 445/540 and Math 464/564 or permission of instructor
This class will essentially be a standard second year graduate algebraic topology class taught primarily from the book by Davis and Kirk. This is an essential course for anyone interested in working in topology. However, students planning to work in other areas of mathematics may also find the material beneficial. I plan to cover a considerable amount of the material from Chapters 4-9 in this book. It will be assumed that the student has a working knowledge the material from Math 445/540 and Math 464/564. In particular, I will assume that all students are familiar with higher homotopy groups, homology, cohomology and basic homological algebra.
Topics:
Fiber bundles
Homology with local coefficients
Fibration and cofibrations
Homotopy and relative homotopy groups
Obstruction theory
Bordism
Spectra
Spectral Sequences
Group homology
Grades:
Your grade will be based on the following weights:
