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CANCELLED Derived Algebraic Cobordism

Presented by: 
Toni Annala
Thursday 26th March 2020 - 11:30 to 12:30
INI Seminar Room 1
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons