AT Seminar: Computing equivariant homotopy with a splitting method

Computations in equivariant homotopy theory are usually hard, especially when the acting group becomes larger and non-abelian. In this talk, I will introduce a new computational method by splitting the category of equivariant spectra into smaller pieces after applying certain localizations. It provides an inductive way to compute equivariant objects acted on by large groups and works well for both abelian and non-abelian groups. Examples include the homotopy of equivariant Eilenberg-Maclane spectra and equivariant complex cobordism. Details on the computation will be provided for special acting groups like D_{2p} and A_5.