AbstractAfter reviewing the notion of Castelnuovo-Mumford regularity of a finitely generated graded moduleover a polynomial ring with coefficients in a field, some history and known results wil be discussedregarding the regularity of ideals associated to subspace arrangements and the connections with theilHilbert functions. in the sequel, recent results obtained together with Aldo Conca wil be ...
AbstractThe course provides a basic introduction to model theory which allows to understand certain model theoretic results in algebra such as Artin’s conjecture on p-adic number fields.PrerequisiteFamiliarity with basic notions in abstract algebra and basic number theory.SyllabusThere are two parts of the course.A. Model constructions: basic introduction to models, structures, and ultraproduc...
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