Not signed in (Sign In)

Start a new discussion

Not signed in

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

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2014

    created a minimum at higher local field and higher arithmetic geometry and added disambiguation with “E-∞ arithmetic geometry”.

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 15th 2014

    The comment at the wikipedia page on higher local fields that

    The appropriate replacement for the multiplicative group becomes the nth Milnor K-group

    resonates with the slow and on-going discussion here at MO about an algebraic String 2-group (where we should take n=2n=2). Henriques says that the appropriate thing is an extension of an algebraic group GG by K 2K_2, rather than look for 2-group extensions by BU(1)\mathbf{B}U(1) (which, due to torsionness of the appropriate cohomology groups, won’t correspond to the thing one gets in the smooth setting).

    However, the relevant section at wikipedia is a bit vague: which multiplicative group? Of the 2-dimensional local field? Of the base field? I will dig further.

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)