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The splitting ring of a monic polynomial is a ring-theoretic analogue of a splitting field which was classically seen used in the construction of Chern classes of vector bundles. I will discuss a few properties of splitting rings and explain how they are connected to syzygies of determinantal varieties and the coherent cohomology of supergrassmannians. This is joint work with Andrew Snowden.
Splitting Rings and Cohomology of Supergrassmannians