Date:

Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Michael Morrow
Title: Computing Free Resolutions of OIModules
Abstract: Free resolutions are a powerful tool in commutative and homological algebra. Much of the structure of a module can be encoded in a free resolution. For example, in the case of graded modules, free resolutions can be used to study Betti numbers and Hilbert functions. Certain homological constructions such as the Ext and Tor functors can be computed with free resolutions as well. In this talk we show how to compute free resolutions in the case of OImodules over a Noetherian polynomial OIalgebra, where OI denotes the category whose objects are totally ordered finite sets and whose morphisms are strictly increasing functions.
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