skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Dotto, Andrea"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, Compositio Mathematica)
    null (Ed.)
    Abstract We prove a local–global compatibility result in the mod $$p$$ Langlands program for $$\mathrm {GL}_2(\mathbf {Q}_{p^f})$$ . Namely, given a global residual representation $$\bar {r}$$ appearing in the mod $$p$$ cohomology of a Shimura curve that is sufficiently generic at $$p$$ and satisfies a Taylor–Wiles hypothesis, we prove that the diagram occurring in the corresponding Hecke eigenspace of mod $$p$$ completed cohomology is determined by the restrictions of $$\bar {r}$$ to decomposition groups at $$p$$ . If these restrictions are moreover semisimple, we show that the $$(\varphi ,\Gamma )$$ -modules attached to this diagram by Breuil give, under Fontaine's equivalence, the tensor inductions of the duals of the restrictions of $$\bar {r}$$ to decomposition groups at $$p$$ . 
    more » « less
    Full Text Available