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Homotopy theory of lattices

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EHT - Equivariant homotopy theory in context

A transfer system is a graph on a lattice satisfying certain restriction and composition properties. They were first studied on the lattice of subgroups of a finite group in order to examine equivariant homotopy commutativity, which then unlocked a wealth of links to other topics. On a finite lattice, transfer systems can be used to classify different homotopy theories using model categories. The talk will involve plenty of examples.

This talk is part of the Isaac Newton Institute Seminar Series series.

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