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Equidimensional adic eigenvarieties for groups with discrete series

Gulotta, Daniel Robert

We extend Urban's construction of eigenvarieties for reductive groups G such that G(R) has discrete series to include characteristic p points at the boundary of weight space. In order to perform this construction, we define a notion of "locally analytic" functions and distributions on a locally Q_p-analytic manifold taking values in a complete Tate Z_p-algebra in which p is not necessarily invertible. Our definition agrees with the definition of locally analytic distributions on p-adic Lie groups given by Johansson and Newton.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Urban, Eric JP
Degree
Ph.D., Columbia University
Published Here
April 13, 2018