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Effective constructions in algebraic topology and applications

Posted in
Speaker: 
Anibal Medina-Mardones
Zugehörigkeit: 
Ecole Polytechnique Fédérale de Lausanne/MPIM
Datum: 
Don, 2021-08-19 15:00 - 16:00
Parent event: 
MPI-Oberseminar

https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For password please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

There is some tension between functoriality and constructibility in algebraic topology reaching back to its origins. For example, the cohomology of a space X could be described in terms of homotopy classes of maps from X to certain spaces, or via a cochain complex generated by a combinatorial representation of X. In this survey talk we will discuss effective constructions of finer structure enhancing the cohomology of X in combinatorial terms. This so called E-infinity structure and associated cochain level operations on X, have become important for new applications of cohomology in the study of, for example, topological QFTs and persistent homology.

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