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Equidimensional adic eigenvarieties for groups with discrete series

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.

Identiferoai:union.ndltd.org:columbia.edu/oai:academiccommons.columbia.edu:10.7916/D8RN4QW8
Date January 2018
CreatorsGulotta, Daniel Robert
Source SetsColumbia University
LanguageEnglish
Detected LanguageEnglish
TypeTheses

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