Non-Fiction Books:

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups

Sorry, this product is not currently available to order

Here are some other products you might consider...

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups

Format

Paperback / softback

Customer rating

Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Share this product

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups
Unavailable
Sorry, this product is not currently available to order

Description

The author introduces the notion of a Galois extension of commutative $S$-algebras ($E \infty$ ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings, real and complex topological $K$-theory, Lubin-Tate spectra and cochain $S$-algebras. He establishes the main theorem of Galois theory in this generality. Its proof involves the notions of separable and etale extensions of commutative $S$-algebras, and the Goerss-Hopkins-Miller theory for $E \infty$ mapping spaces. He shows that the global sphere spectrum $S$ is separably closed, using Minkowski's discriminant theorem, and he estimates the separable closure of its localization with respect to each of the Morava $K$-theories. He also defines Hopf-Galois extensions of commutative $S$-algebras and studies the complex cobordism spectrum $MU$ as a common integral model for all of the local Lubin-Tate Galois extensions.
Release date Australia
February 15th, 2008
Country of Publication
United States
Imprint
American Mathematical Society
Pages
137
ISBN-13
9780821840764
Product ID
2747491

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

  • If you think we've made a mistake or omitted details, please send us your feedback. Send Feedback
  • If you have a question or problem with this product, visit our Help section. Get Help
Filed under...