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
The test function conjecture for local models of Weil-restricted groups
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DOI: 10.1112/s0010437x20007162
Abstract: We prove the test function conjecture of Kottwitz and the first named author for local models of Shimura varieties with parahoric level structure attached to Weil-restricted groups, as defined by B. Levin. Our result covers… read more here.
Keywords: restricted groups; function conjecture; local models; test function ... See more keywords