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- W2950296879 abstract "We construct motivic $ell$-adic representations of $GQ$ into exceptional groups of type $E_7,E_8$ and $G_2$ whose image is Zariski dense. This answers a question of Serre. The construction is uniform for these groups and uses the Langlands correspondence for function fields. As an application, we solve new cases of the inverse Galois problem: the finite simple groups $E_{8}(FF_{ell})$ are Galois groups over $QQ$ for large enough primes $ell$." @default.
- W2950296879 created "2019-06-27" @default.
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- W2950296879 date "2011-12-11" @default.
- W2950296879 modified "2023-09-28" @default.
- W2950296879 title "Motives with exceptional Galois groups and the inverse Galois problem" @default.
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- W2950296879 doi "https://doi.org/10.48550/arxiv.1112.2434" @default.
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