Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 4th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexSince I wondered what they were, I started an entry [[Gorenstein ring spectrum]], which then needed [[Gorenstein ring]]. Not sure I'm much the wiser as to their importance. There should be a lot to say about related duality.

   Since I wondered what they were, I started an entry Gorenstein ring spectrum, which then needed Gorenstein ring. Not sure I’m much the wiser as to their importance. There should be a lot to say about related duality.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 4th 2017
   • (edited Apr 4th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe interest lies in the fact that Gorenstein ring spectra tend to exhibit Gorenstein duality. The latter is effectively a version of [[Anderson duality]]. The examples of Gorenstein duality that John Greenlees and his students mentioned in the talks yesterday were developments of the two examples that the nLab presently lists at _[[Anderson duality]]_. Lennart Meier has a hand in many of the recent examples that were computed, such as [arXiv:1607.02332](https://arxiv.org/abs/1607.02332)

   The interest lies in the fact that Gorenstein ring spectra tend to exhibit Gorenstein duality. The latter is effectively a version of Anderson duality.

   The examples of Gorenstein duality that John Greenlees and his students mentioned in the talks yesterday were developments of the two examples that the nLab presently lists at Anderson duality. Lennart Meier has a hand in many of the recent examples that were computed, such as arXiv:1607.02332

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 4th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexOne would hope that there is a good reference reviewing the basics, but I am not sure if there is. John Greenlees in his talk kept mentioning the many previous talks he had given on the subject.

   One would hope that there is a good reference reviewing the basics, but I am not sure if there is. John Greenlees in his talk kept mentioning the many previous talks he had given on the subject.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 4th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexThe reference I gave, Homotopy Invariant Commutative Algebra over fields, is nicely conversational, and gives the 'philosophy' of the program.

   The reference I gave, Homotopy Invariant Commutative Algebra over fields, is nicely conversational, and gives the ’philosophy’ of the program.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 4th 2017
   • (edited Apr 4th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItex> The reference I gave Which one? Ah, [this one](https://ncatlab.org/nlab/show/Gorenstein+ring+spectrum#Greenlees16). Okay, thanks!

   The reference I gave

   Which one? Ah, this one. Okay, thanks!