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4. Applications of geometric realizations of functoriality


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      Problem 4.1.

      [Aleksander Horawa] Can one use these methods to realize a $p$-adic Jacquet-Langlands correspondence?


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          Problem 4.2.

          [Ana Caraiani] Can these methods be used to prove anything about Nekovar-Scholl’s plectic conjectures?


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              Problem 4.3.

              [Yichao Tian] Can one use cycles (Hodge or Tate) to produce correspondences between eigenvarieties of different inner forms?

                  Cite this as: AimPL: Geometric realizations of Jacquet-Langlands correspondences, available at http://aimpl.org/geomjacqlang.