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3. Postdoctoral Program - MSRI

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California. We talked about several problems related to T HH and algebraic Ktheory,<br />

and I think we made a lot of progress. For example, we studied T HH of<br />

Thom spectra over a loop space ΩX. By work of Bökstedt, Hsiang and Madsen<br />

we understand A(X) = K(Σ ∞ + ΩX) in terms of the suspension spectrum of the<br />

free loop space on X, and the hope is that the K-theory of a Thom spectrum<br />

over ΩX will give a twisted version of A(X).<br />

2

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