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Delooping of embedding spaces. Applications to spaces of knots and links

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Speaker: 
Julien Ducoulombier
Affiliation: 
MPIM
Date: 
Mon, 2020-11-23 14:30 - 14:50
Parent event: 
MPIM Topology Seminar

During this short presentation, I would like to give an overview of the delooping theorems as well as applications to spaces of long embeddings. In particular, we show that  spaces of long embeddings (such as knots or links) are weakly equivalent to explicit iterated loop spaces. All of them can be expressed in terms of derived mapping spaces of operads. Such identifications can be used to understand the rational homotopy groups of embedding spaces.

 

Zoom Meeting ID: 916 5855 1117
For password see the email or contact: Arunima Ray or Tobias Barthel.

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