The vector space dimension of the torsion module of differentials is an analytical invariant of the singularity, called Tjurina number. These constructible sets were first studied by J. Nash in connection with Hironaka's resolution of singularities. Further related developments will be reviewed. This lecture is also sponsored by the Charn Uswachoke Lecture Series and the Millican Lecture Series. Although the results are non-commutative in nature, the proofs use only commutative algebra.
Room is subject to change.
Near Davis Hall on west side of Cooper. Suggested parking is 2-minute walk from Pickard Hall. The result may be considered to be a prototype for a mathematical text recognition system. Furthermore, methods have been developed by the author's study group and the IT Center of Essen University to incorporate the retrodigitized texts into a digital library database. Thus it is possible to link the retrodigitized back issues with the recent digital issues of a mathematical journal.