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Explore Bredon cohomology and LS-categorical invariants in this 58-minute lecture from the Applied Algebraic Topology Network. Delve into Farber's problem of describing the topological complexity of aspherical spaces using algebraic invariants of their fundamental groups. Examine joint work with Farber, Lupton, and Oprea, utilizing Bredon cohomology as a tool from equivariant topology to provide algebraic estimates of topological complexity in aspherical spaces. Investigate further research with Meir and Patchkoria, presenting an algebraic description of the equivariant LS-category for groups with operators. Discover the connections between these projects through the work of Iwase and collaborators, gaining insights into advanced concepts in algebraic topology and their applications.
