Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)
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DOI: 10.1016/j.jnt.2021.06.003
Abstract: Let $E/F$ be a finite and Galois extension of non-archimedean local fields. Let $G$ be a connected reductive group defined over $E$ and let $M: = \mathfrak{R}_{E/F}\, G$ be the reductive group over $F$ obtained… read more here.
Keywords: restricted groups; local langlands; weil restricted; langlands correspondence ... See more keywords
Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case
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DOI: 10.1112/s0010437x19007486
Abstract: We show how the modular representation theory of inner forms of general linear groups over a non-Archimedean local field can be brought to bear on the complex theory in a remarkable way. Let $\text{F}$ be… read more here.
Keywords: langlands correspondence; jacquet langlands; unicode stix; correspondence ... See more keywords
The spectral p-adic Jacquet–Langlands correspondence and a question of Serre
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DOI: 10.1112/s0010437x22007308
Abstract: We show that the completed Hecke algebra of $p$-adic modular forms is isomorphic to the completed Hecke algebra of continuous $p$-adic automorphic forms for the units of the quaternion algebra ramified at $p$ and $\infty$.… read more here.
Keywords: langlands correspondence; jacquet langlands; question; spectral adic ... See more keywords