2018 Theses Doctoral

# 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.

## Subjects

## Files

- Gulotta_columbia_0054D_14555.pdf application/pdf 446 KB Download File

## More Information

- Academic Units
- Mathematics
- Thesis Advisors
- Urban, Eric JP
- Degree
- Ph.D., Columbia University