Motivic stuff

Cohomology, homotopy theory, and arithmetic geometry

The Kervaire Invariant One problem solved

Posted by Andreas Holmstrom on April 22, 2009

It seems like Mike Hopkins, Mike Hill and Doug Ravenel have solved the famous Kervaire Invariant One problem. Here is a quote from an email sent to the ALGTOP-L mailing list today: “Yesterday, at the conference on Geometry and Physics being held in Edinburgh in honor of Sir Michael Atiyah, Harvard Professor Mike Hopkins announced a solution to the 45 year old Kervaire Invariant One problem, one of the major outstanding problems in algebraic and geometric topology. This is joint work with Rochester professor Doug Ravenel and U VA postdoctoral Whyburn Instructor Mike Hill.” The whole email, containing some more background, can be found here.

Update: The slides from the lecture of Hopkins have been made available at the web page of Ranicki. Link (warning, 40MB file).

See also this post.

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3 Responses to “The Kervaire Invariant One problem solved”

  1. Novice said

    What about the proof of the standard conjectures, that you earlier blogged about? Is the proof correct, or is an error found yet?

  2. homotopical said

    I haven’t heard anything more about it unfortunately. We will have to wait and see what happens.

  3. [...] Comments (RSS) « The Kervaire Invariant One problem solved [...]

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