2020/2021
Research Seminar "An introduction to Factorisation Homology"
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
When:
3, 4 module
Open to:
students of one campus
Instructors:
Christopher Ira Brav
Language:
English
ECTS credits:
6
Course Syllabus
Abstract
Factorisation homology is a homology theory for manifolds, defined for non-linear coefficients. Among its various applications are those to the topology of configuration spaces, to Hochschild theory, and to topological field theory.
Learning Objectives
- Students will take turns lecturing on the basic theory of factorisation homology, as well as its applications.
Expected Learning Outcomes
- Students will learn the basics of factorisation homology, while improving their presentation and writing skills.
Course Contents
- Review of homotopical category theory (`infinity categories')
- Definition of little disks operads and its generalisations
- Topology of configuration spaces
- Factorisation algebras for stratified spaces
- Definition of factorisation homology and basic examples
