This Thursday at U. Haifa Topology & Geometry seminar on January 17, 2019 at 12:10
Geometry & Topology Seminar
Speaker: Azez Kharoof (University of Haifa)
Topic: Higher order Toda brackets
Place: room 614 in the Science & Education Building
Date: Thursday, January 17, 2019
After reviewing the construction and properties of the classical Toda bracket, we describe two approaches to n-th order Toda brackets in a general pointed model category (both involving cubical diagrams): One approach will show why the vanishing of the Toda bracket serves as the obstruction to rectifying certain linear diagrams in the model category, while the second approach may be naturally interpreted in a cubical enrichment, and thus for general infinity-categories. We then show that the two approaches are equivalent.
If time permits, we will also discuss the meaning of the Toda bracket for chain complexes.