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Home » DAG Seminar: A new approach to Goerss-Hopkins obstruction theory

Seminar

DAG Seminar: A new approach to Goerss-Hopkins obstruction theory May 17, 2019 (01:30 PM PDT - 02:30 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Paul VanKoughnett (Purdue University)
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Let E be a homology theory and M an E_*E-comodule. Is there a spectrum X such that M is the E-homology of X, and if so, how many? Goerss-Hopkins obstruction theory is a tool for answering such questions, including analogous ones for highly structured ring spectra. In joint work with Piotr PstrÄ…gowski, we introduced a general infinity-categorical framework for obstruction theory using synthetic spectra. We'll set up this framework, observe it in action, and discuss the relationship between convergence of E-based obstruction theories and the homological algebra of E_*E-comodules.

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