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The test function conjecture for local models of Weil-restricted groups
Published online by Cambridge University Press: 06 July 2020
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 the (modified) local models attached to all connected reductive groups over $p$-adic local fields with
$p\geqslant 5$. In addition, we give a self-contained study of relative affine Grassmannians and loop groups formed using general relative effective Cartier divisors in a relative curve over an arbitrary Noetherian affine scheme.
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- © The Authors 2020
Footnotes
Research of T.J.H. partially supported by NSF DMS-1406787 and by Simons Fellowship 399424, and research of T.R. funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) 394587809.
References
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