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DMS Algebra Seminar
Time: Jan 18, 2022 (02:30 PM)
Location: 358 Parker Hall

Speaker: Michael Brown (local)
Title: Linear strands of multigraded free resolutions
Abstract: The linear strand of a free resolution F over a standard graded polynomial ring is, roughly speaking, the subcomplex of F determined by the first row of its Betti table. Over polynomial rings with non-standard gradings, this definition is no longer sensible, because linearity (suitably interpreted) cannot be detected in terms of Betti numbers. I will discuss a theory of linear strands of free resolutions over polynomial rings with non-standard gradings that manages to avoid this problem, as well as some geometric motivation for such a theory.
This is joint work with Daniel Erman.

Last updated: 01/17/2022