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08/28/01 Colloquium
DR. HEATH MARTIN
DEPARTMENT OF MATHEMATICS
TULANE UNIVERSITY
DEPARTMENT OF MATHEMATICS
TULANE UNIVERSITY
Generalized Functions and Convolutions
Abstract: We discuss how certain naturally defined partial orders on sets of monomials might be used to study important algebraic invariants associated to ideals in polynomial rings. In particular, we are primarily interested in homological invariants such as Betti numbers and Castelnuovo-Mumford regularity, and how they relate to the partial orders.
