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Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'

„Trianguline Galois representations and Schur functors“
Dr. Andrea Conti, MPI Bonn

Given a definite unitary group $G$ that is isomorphic to $\mathrm{GL_n}$ at the $p$-adic places, the $p$-adic Galois representations attached to $p$-adic overconvergent automorphic forms for $G$ are known to be trianguline at $p$ in the sense of ($\varphi$, $\Gamma$)-modules or $B$-pairs. It is conjectured that this condition characterizes all such representations. We show that a $p$-adic Galois representation is trianguline at $p$ if and only it is trianguline after composition with a Schur functor. We give an application of this result to the study of the Galois image at points of the eigenvariety for $G$.

Freitag, den 27. Oktober 2017 um 13:30 Uhr, in INF205, SR A Freitag, den 27. Oktober 2017 at 13:30, in INF205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Dr. Gebhard Böckle