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Equidimensional adic eigenvarieties for groups with discrete series

Daniel Robert Gulotta

Title:
Equidimensional adic eigenvarieties for groups with discrete series
Author(s):
Gulotta, Daniel Robert
Thesis Advisor(s):
Urban, Eric JP
Date:
Type:
Theses
Degree:
Ph.D., Columbia University
Department(s):
Mathematics
Persistent URL:
Abstract:
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.
Subject(s):
Mathematics
Series
p-adic groups
Item views
33
Metadata:
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Suggested Citation:
Daniel Robert Gulotta, , Equidimensional adic eigenvarieties for groups with discrete series, Columbia University Academic Commons, .

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