Equidimensional adic eigenvarieties for groups with discrete series
By: Daniel Robert Gulotta
Publisher: [publisher not identified]
Published: 2018
Place of publication: [New York, N.Y.?]
Language: eng
Description: 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.
Notes: Department: Mathematics.

Thesis advisor: Eric JP Urban.

Thesis (Ph.D.)--Columbia University, 2018.