I will consider noncommutative geometry from the differential point of view, beginning with noncommutative differential forms and vector fields. I will then give analogues of the results of Chevalley and Eilenberg on the cohomology of manifolds with group action (read algebras with Hopf algebra coaction). If time permits I will look at the definition of fibration and the uses of spectral sequences in noncommutative differential topology. This will require considering de Rham cohomology with coefficients in modules with flat connection, which will turn out to be a sort of noncommutative sheaf theory.
Much of this is joint work with T. Brzezinski.
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Last updated May 25, 2005. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).