Seminar

Postdoc day, Seminar 2: An illustration of stratified homotopy theory

Higher algebraic structures in algebra, topology and geometry

18 February 14:10 - 14:40

Sylvain Douteau - Stockholm University

The theory of stratified spaces was motivated by the study of singular objects, through decompositions into smooth pieces, following the famous decomposition theorem by Whitney. In this context, stratified homotopy theory is an adaptation of the usual homotopy theory of spaces, suited for the study of the invariants of those singular objects. However, one can also use stratifications to encode particular structures on spaces. In this case, the stratified homotopy type of the space becomes an invariant of the structure. We will illustrate this phenomenon through an application to knot theory.

 

Click here to watch the seminar

Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

For practical matters at the Institute, send an e-mail to administration@mittag-leffler.se