Seminar
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Location: | 60 Evans Hall |
Keywords and Mathematics Subject Classification (MSC)
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An important generalization of Galois extensions of fields is to Hopf-Galois extensions of associative rings, which Schneider proved can be characterized in terms faithfully flat Grothendieck descent. I will begin by recalling this classical theory and then sketch recent homotopical generalizations, motivated by Rognes' theory of Hopf-Galois extensions of structured ring spectra. In particular, I will present a homotopical version of Schneider's theorem, which describes the close relationships among the notions of Hopf-Galois extensions, Grothendieck descent, and Koszul duality within the framework of Quillen model categories.
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