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CANCELLED Derived Algebraic Cobordism

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KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

The purpose of this talk is to outline how to use derived
algebraic geometry in order to give a very general geometric construction of
algebraic cobordism in the spirit of Levine and Morel. The new construction
requires no smoothness hypotheses on the variety, and works over a Noetherian
ground ring of finite Krull dimension (as opposed over a field of
characteristic 0). Moreover, the construction is naturally part of a larger
bivariant theory in the sense of Fulton and MacPherson. We will outline what
is known about derived cobordism theory. Most importantly: it has the
expected relationship with the Grothendieck ring of vector bundles and
satisfies projective bundle formula.

This talk is part of the Isaac Newton Institute Seminar Series series.

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