2020/2021
Research Seminar "An introduction to Factorisation Homology"
Category 'Best Course for Career Development'
Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'
Category 'Best Course for New Knowledge and Skills'
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
3, 4 module
Instructors:
Christopher Ira Brav
Language:
English
ECTS credits:
6
Contact hours:
72
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
