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Home » MSRI/Evans Lecture: Galois, Hopf, Grothendieck, Koszul, and Quillen

Seminar

MSRI/Evans Lecture: Galois, Hopf, Grothendieck, Koszul, and Quillen March 17, 2014 (04:00 PM PDT - 05:00 PM PDT)
Parent Program: Algebraic Topology
Location: 60 Evans Hall
Speaker(s) Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL))
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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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