Tag Archives: Michael Harris

Local representations occurring in cohomology

Michael Harris was in town for a few days, and we chatted about the relationship between my conjectures on completed cohomology groups with Emerton and the recent work of Scholze. The brief summary is that Scholze’s results are not naively … Continue reading

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Galois Representations for non self-dual forms, Part II

(Now with updates!) Let’s recap from part I. We have a Shimura variety , a minimal projective compactification , and a (family of) smooth toroidal compactifications . We also have Galois representations of the correct shape associated to eigenclasses in … Continue reading

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