MATH 6280, Advanced Algebraic Topology, Fall 2022

Instructor:

Dr. Markus Pflaum

Course Contents:

Covers sheaf theory, sheaf cohomology, derived categories and spectral sequences.

Syllabus

Lecture Hours and Venue:

MWF 1:25pm - 2:15pm, MATH 220.

Assignments:

Several problems and course projects will be assigned in the course. A list of potential topics is here. Every student has to write a paper on one of the projects and give a brief presentation in class. The project papers will be graded.

Course Grading:

Your grade will be determined from the graded project paper and the presentation.

Textbooks and Lecture Notes:

Bredon: Sheaf Theory, Springer
Iversen: Cohomology of Sheaves, Springer
The CRing Project, Chapters 21, 40 and 41