BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Bernstein Gelfand-Gelfand correspondence and WLP Schenck, Hal

Description

The Bernstein-Gelfand-Gelfand correspondence is an equivalence between certain derived categories over the polynomial algebra S and the exterior algebra E. In down to earth terms, it allows one to define a functor from S-modules to complexes of free E-modules with linear differential, and vice versa. This connects to the multiplication map used to investigate Lefschetz properties, but it seems little has been done to explore this. Some specific classes of objects that might be amenable to study using these techniques are (Artinian reduction of) squarefree monomial ideals, and ideals generated by products of linear forms

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