Date of Award
Doctor of Philosophy (PhD)
Graduate School of Arts and Sciences
Eric Urban, Ph.D.
Langlands program, automorphic forms, eigenvarieties, non-archimedean analysis
Mathematics | Number Theory | Physical Sciences and Mathematics
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 Qp-analytic manifold taking values in a complete Tate Zp-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.
Gulotta, Daniel Robert '03, "Equidimensional Adic Eigenvarieties for Groups With Discrete Series" (2018). Doctoral Dissertations. 20.