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Modules of constant radical type and associated bundles February 20, 2013 (02:00 PM PST - 03:00 PM PST)
Location: MSRI: Simons Auditorium
Speaker(s) Jon Carlson (University of Georgia)
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This is a report on joint work with Eric Friedlander, Julia Pevtsova and sometimes Andrei Suslin. We introduce higher rank variations on the notion of $\pi$-points as defined by Friedlander and Pevtsova for representations of finite group schemes. Using this we can define module of constant r-radical and r-socle type. Such modules determine bundles over the Grassmannian associated to the higher rank $\pi$-points in the case that the group scheme is infinitesimal of height one. When the group scheme is an elementary abelian p-group, there is universal function for computing the kernel bundles as modules over the structure sheaf of the Grassmannian of r-planes in n space. These ideas also extend to various sorts of subalgebra of restricted p-Lie algebras.

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