Equidimensional adic eigenvarieties for groups with discrete series
- Equidimensional adic eigenvarieties for groups with discrete series
- Gulotta, Daniel Robert
- Thesis Advisor(s):
- Urban, Eric JP
- Ph.D., Columbia University
- Persistent URL:
- 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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- Suggested Citation:
- Daniel Robert Gulotta, 2018, Equidimensional adic eigenvarieties for groups with discrete series, Columbia University Academic Commons, https://doi.org/10.7916/D8RN4QW8.