Academic Commons

Theses Doctoral

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.


  • thumnail for Gulotta_columbia_0054D_14555.pdf Gulotta_columbia_0054D_14555.pdf application/pdf 446 KB Download File

More About This Work

Academic Units
Thesis Advisors
Urban, Eric JP
Ph.D., Columbia University
Published Here
April 13, 2018
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.