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Teena Gerhardt
Algebraic Cobordism
Abstract:
In topology we have complex oriented cohomology theories, a universal
such theory, and Chern classes associated to these theories. In this
talk we will transplant these ideas into algebraic geometry. With a
good definition of an oriented cohomology theory on the category of
smooth quasi-projective varietes over a field k, one can construct a
universal such theory, namely algebraic cobordism (which is due to
Levine and Morel).
I will review Quillen's perspective on complex cobordism, and that
perspective will guide our overview of algebraic cobordism. I will
conclude by stating some results relating algebraic cobordism to more familiar
theories.
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