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On Lattice-Like Subgroups of Witt Group Schemes, and Associated Moduli Spaces
- Nitz, Frederic T.
- Advisor(s): Weissman, Martin
Abstract
In this work we define a moduli problem for subgroups of powers of Witt group schemes which we believe to be a good analogue for the lattices used in the construction of the classical affine Grassmannian. We then develop some tools for describing these subgroups. With these tools in hand we are able to show that the moduli problem is representable in general, and we construct the representing scheme in some cases.
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