On Grothendieck--Witt theory of the integers.

Abstract: We introduce the Grothendieck--Witt groups of the integers and the Grothendieck--Witt spectrum of the integers. Then we explain how to compute these groups and the homotopy type of the spectrum using recent work on K-theory and L-theory. If time permits we also explain how to resolve the homotopy limit problem for rings of integers in number fields and prove Karoubi's periodicity conjecure for arbitrart rings.

algebraic topology

Audience: researchers in the topic

MIT topology seminar

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