Eilenberg-MacLane mapping algebras and higher distributivity

14 Oct 2016, 10:40
50m
Amphi Haüy ()

Amphi Haüy

Contributed talk Topologie algébrique et applications

Speaker

Dr Martin Frankland (Universität Osnabrück)

Description

Primary cohomology operations are given by homotopy classes of maps between Eilenberg-MacLane spectra. Composition of such maps is bilinear up to homotopy, but not strictly: it is strictly linear in one variable and linear up to coherent homotopy in the other variable. In joint work with Hans-Joachim Baues, we introduce the notion of weakly bilinear mapping theory to encode this structure. I will describe the higher distributivity laws satisfied by this structure, along with some examples in mod 2 cohomology.

Primary authors

Prof. Hans-Joachim Baues (Max-Planck-Institut für Mathematik) Dr Martin Frankland (Universität Osnabrück)

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