Topics in Algebraic Topology I
Durham
Engineering&Physical Sciences :: Mathematics&Statistics
Credits: 3.0
Term: Fall 2021 - Full Term (08/30/2021 - 12/13/2021)
Grade Mode: Letter Grading
Term: Fall 2021 - Full Term (08/30/2021 - 12/13/2021)
Grade Mode: Letter Grading
Class Size:
15
CRN: 13962
CRN: 13962
An introduction to topics in algebraic topology.
Department Approval Required. Contact Academic Department for permission then register through Webcat.
Prerequisite(s): MATH 956 with minimum grade of B-
Repeat Rule: May be repeated for a maximum of 99 credits.
Instructors: Maria Basterra
Times & Locations
| Start Date | End Date | Days | Time | Location |
|---|---|---|---|---|
| 8/30/2021 | 12/13/2021 | MW | 12:40pm - 2:00pm | KING N133 |
Additional Course Details:
This semester will be dedicated to Category Theory. We will cover the following topics in more or less detail depending on the familiarity and interests of the participants:
- Categories, functors and natural transformations
- Universal properties, representability and the Yoneda Lemma
- Limits and colimis
- Adjunctions 5 Monads and their algebras
- Kan extension
- Additional topics: Model categories, derived functors and homotopy limits, higher categories.