125 citations · 250 across the 18 of their papers we have counts for
Showing 2019 · math.NTShow all
3 papers · 2 filters
math.NT2019★ 3 cited
Vanishing theorems for Shimura varieties at unipotent level
Ana Caraiani, Daniel R. Gulotta, Christian Johansson
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite -level (defined with respect to a Borel subgroup) vanishes above the m…
math.NT2019★ 7 cited
On the generic part of the cohomology of non-compact unitary Shimura varieties
Ana Caraiani, Peter Scholze
We prove that the generic part of the mod l cohomology of Shimura varieties associated to quasi-split unitary groups of even dimension is concentrated above the middle degree, exte…
math.NT2019★ 5 cited
Moduli stacks of two-dimensional Galois representations
Ana Caraiani, Matthew Emerton, Toby Gee +1
We construct moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field, and relate their geometry to the weight part of Serre's co…