Presented by:
Lior Yanovski Hebrew University of Jerusalem
Date:
Tuesday 28th August 2018 - 15:30 to 16:30
Venue:
INI Seminar Room 2
Abstract:
The monochromatic layers of the chromatic filtration on
spectra, that is The K(n)-local (stable 00-)categories Sp_{K(n)}
enjoy many remarkable properties. One example is the vanishing of the Tate
construction due to
Hovey-Greenlees-Sadofsky. The
vanishing of Tate construction can be considered as a natural equivalence between
the colimits and limits in Sp_{K(n)}
parametrized by finite groupoids. Hopkins and Lurie proved a
generalization of this result where finite groupoids are replaced by arbitrary
\pi-finite 00-groupoids. There is another possible sequence of (stable 00-)categories who can be considered
as "monochromatic layers", Those are the T(n)-local 00-categories
Sp_{T(n)}. For the Sp_{T(n)} the vanishing of the Tate
construction was proved by Kuhn. We shall prove that the analog of Hopkins and Lurie's result in for Sp_{T(n)}. Our proof will also give an alternative proof for
the K(n)-local case. This is a joint work with Shachar Carmieli and Lior
Yanovski
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
