@PhdThesis{duepublico_mods_00078117, author = {Gehrmann, Lennart}, title = {Cohomology of p-arithmetic groups and special Galois representations}, year = {2023}, month = {Apr}, day = {19}, abstract = {The main subject of this habilitation thesis are automorphic L-invariants. Given an automorphic representation $\pi$ of a semi-simple group G that fulfils several conditions - most notably that the local component of $\pi$ at p is Steinberg - the automorphic L-invariants of $\pi$ are p-adic numbers that are constructed from the $\pi$ -isotypic component of the cohomology of p-arithmetic subgroups of G. They conjecturally describe fine properties of the (local) p-adic Galois representation attached to $\pi$.}, doi = {10.17185/duepublico/78117}, url = {https://duepublico2.uni-due.de/receive/duepublico_mods_00078117}, url = {https://doi.org/10.17185/duepublico/78117}, file = {:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00077756/Habilitation_Gehrmann.pdf:PDF}, language = {en} }