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- W2512852005 abstract "Let $F$ be a totally real field, $mathfrak{p}$ an unramified place of $F$ dividing $p$ and $overline{r}: mathrm{Gal}(overline{F}/F)rightarrowmathrm{GL}_2(overline{mathbb{F}}_p)$ a continuous irreducible modular representation. The work of Buzzard, Diamond and Jarvis associates to $overline{r}$ an admissible smooth representation of $mathrm{GL}_2(F_mathfrak{p})$ on the mod $p$ cohomology of Shimura curves attached to indefinite division algebras which split at $mathfrak{p}$. When $overline{r}|_{mathrm{Gal}(overline{F_mathfrak{p}}/F_mathfrak{p})}$ is tamely ramified and generic (and under some technical assumptions), we determine the subspace of invariants of this representation under the principal congruence subgroup of level $mathfrak{p}$. In particular, it depends only on $overline{r}|_{mathrm{Gal}(overline{F_mathfrak{p}}/F_mathfrak{p})}$ and verifies a multiplicity one property." @default.
- W2512852005 created "2016-09-16" @default.
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- W2512852005 creator A5066125694 @default.
- W2512852005 date "2016-08-29" @default.
- W2512852005 modified "2023-09-24" @default.
- W2512852005 title "Some multiplicity one result on the mod $p$ cohomology of Shimura curves: the tame case" @default.
- W2512852005 hasPublicationYear "2016" @default.
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