Topology Seminar - Stratified Homotopy Theory - Jon Woolf (University of Liverpool) Seminar
- Time:
- 14:00 - 15:00
- Date:
- 29 April 2019
- Venue:
- Lecture Theatre 10B, Building 54, School of Mathematical Sciences, University of Southampton, Highfield Campus, SO17 1BJ
For more information regarding this seminar, please email Professor Stephen Theriault at S.D.Theriault@southampton.ac.uk .
Event details
Abstract: Stratified spaces arise in many contexts within topology, geometry, and algebra, in particular many moduli spaces admit natural stratifications. Whilst the geometry of stratified spaces has been intensively studied, their homotopy theory has received less attention. In this talk I will explain a new approach to studying it, by defining a model structure on a very general category of stratified spaces. The structure is cofibrantly transferred from the Joyal model structure on simplicial sets, establishing a close relation between stratified spaces and infinity categories (analogous to that between spaces and infinity groupoids).
The cofibrant-fibrant spaces and weak equivalences in this model structure are closely related to `classical' notions in the theory of stratified spaces, however one also gains new insights. This is joint work with Stephen Nand-Lal.
Speaker information
Dr Jon Woolf , University of Liverpool.