We generalize the work of Lue Pan on locally analytic completed cohomology of modular curves to Shimura varieties. In the process we obtain a proof of the rational Calegari-Emerton conjectures without a perfectoid assumption at infinite level. We also construct the overconvergent $\mathrm{BGG}$ maps for the derived infinitesimal Jacquet module of the locally analytic completed cohomology and its dual.Comment: This is the second part of the paper arXiv:2205.02016 studying the completed cohomology of Shimura varietie
We prove Ihara’s lemma for the mod l cohomology of Shimura curves, localized at a maximal ideal of t...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
Dans ce manuscrit, nous étudions la structure de Hodge-Tate de la cohomologie proétale des variétés ...
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite $\Gam...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
This is a survey article that advertises the idea that there should exist a theory of p-adic local a...
We construct a derived variant of Emerton's eigenvarieties using the locally analytic representation...
A theorem of Nomizu and van Est computes the cohomology of a compact nilmanifold, or equivalently th...
We prove Ihara's lemma for the mod $l$ cohomology of Shimura curves, localised at a maximal ideal of...
We prove Ihara’s lemma for the mod l cohomology of Shimura curves, localized at a maximal ideal of t...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura varieties. T...
Dans ce manuscrit, nous étudions la structure de Hodge-Tate de la cohomologie proétale des variétés ...
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite $\Gam...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimur...
This is a survey article that advertises the idea that there should exist a theory of p-adic local a...
We construct a derived variant of Emerton's eigenvarieties using the locally analytic representation...
A theorem of Nomizu and van Est computes the cohomology of a compact nilmanifold, or equivalently th...
We prove Ihara's lemma for the mod $l$ cohomology of Shimura curves, localised at a maximal ideal of...
We prove Ihara’s lemma for the mod l cohomology of Shimura curves, localized at a maximal ideal of t...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...