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From Higher Invariants

Descent theory for structured ring spectra and applications

Abstract: We will describe various forms of descent in the setting of structured ring spectra and some of their applications in the computations of invariants (such as thick subcategories, Galois groups, and Picard groups) of objects such as TMF and stable module categories. The main application, to the Picard group of topological modular forms, is joint work with Vesna Stojanoska.