Applications of Chromatic Fixed Point Theory

Christopher Lloyd
From its inception the primary concern of algebraic topology has been using algebraic techniques to construct invariants of topological spaces. This pursuit has led to the creation of many important cross-disciplinary tools. One such modern tool is the equivariant Balmer spectrum associated to a finite group G. This object, which lives in the intersection of algebraic geometry and algebraic topology, encodes information about the equivariant stable homotopy category in a systematic yet abstract way. This...
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