Project Details
Projekt
Images of Galois representations and deformations (B04)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
Locally, framed universal deformation rings for any residual mod p representation of the absolute Galois group of a p-adic field to GL(n) are being considered. We shall establish geometric properties in order to prove Zariski-density of crystalline points and study analogous questions for more general reductive groups. Globally, automorphic forms with conjugate self-twists are a main focus. We shall construct a corresponding non-connected monodromy group and use it to explore big image questions in p-adic families and adelically, in small rank cases, and in particular for GSp(4). Again for GSp(4), also an analog of a conjecture of Greenberg shall be pursued.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Head
Professor Dr. Gebhard Böckle
