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arXiv · 1512.03006

Variation of Weyl modules in $p$-adic families

Jyoti Prakash Saha
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Abstract

Given a Weil-Deligne representation with coefficients in a domain, we prove the rigidity of the structures of the Frobenius-semisimplifications of the Weyl modules associated to its pure specializations. Moreover, we show that the structures of the Frobenius-semisimplifications of the Weyl modules attached to a collection of pure representations are rigid if these pure representations lift to Weil-Deligne representations over domains containing a domain $\mathscr{O}$ and a pseudorepresentation over $\mathscr{O}$ parametrizes the traces of these lifts.

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Jyoti Prakash Saha. 2015-12-04. Variation of Weyl modules in $p$-adic families. https://arxiv.org/abs/1512.03006

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