Seminar

The Disc-structure space

Higher algebraic structures in algebra, topology and geometry

10 February 14:15 - 16:00

Manuel Krannich - University of Muenster

The classical approach to studying the enriched category of manifolds and their diffeomorphisms is to first compare it to a simplified category of block-manifolds and then compare the latter to the category of Poincaré complexes. The information lost in each of these steps is encoded in certain structure spaces that are expressible---in a certain range---in terms of K- and L-theory. More recent developments related to manifold calculus and factorisation homology suggest a different approach, namely to compare the category of manifolds to a variant of the derived category of modules over the little d-discs operad. Again, this amounts to studying certain structure spaces that encode the difference: the Disc-structure spaces. In this talk, I will explain the above and describe aspects of joint work with A. Kupers in which we show that, in most cases, these Disc-structure spaces are nontrivial infinite loop spaces that depend only little on the underlying manifolds.

 

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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

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