Parabolic eigenvarieties via overconvergent cohomology

D Barrera Salazar, C Williams - Mathematische Zeitschrift, 2021 - Springer
Let GG be a connected reductive group over QQ such that G= G/Q _p G= G/Q p is quasi-split,
and let Q ⊂ GQ⊂ G be a parabolic subgroup. We introduce parahoric overconvergent …

Big principal series,-invariants

L Gehrmann, G Rosso - Compositio Mathematica, 2022 - cambridge.org
In earlier work, the first named author generalized the construction of Darmon-style-
invariants for representations of definite unitary groups of arbitrary rank. Finally, we study the …

The rationality of Stark-Heegner cycles attached to Bianchi modular forms--The base-change scenario

G Venkat - arXiv preprint arXiv:2112.07402, 2021 - arxiv.org
We study Stark-Heegner cycles attached to Bianchi modular forms, that is automorphic forms
for GL (2) over an imaginary quadratic field F. The Stark-Heegner cycles are local …