MATH 966 (01) - Topics in Algebraic Topology I

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
Class Size:   15  
CRN: 13962
An introduction to topics in algebraic topology.
You must sign up in the Dept Office before registering 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:

  1. Categories, functors and natural transformations
  2. Universal properties, representability and the Yoneda Lemma
  3. Limits and colimis
  4. Adjunctions 5 Monads and their algebras
  5. Kan extension
  6. Additional topics: Model categories, derived functors and homotopy limits, higher categories.