The topological Breuil-M\'ezard conjecture for classical groups
Abstract
For unitary, orthogonal and symplectic groups, we compute the dimension of the reduced Emerton-Gee stacks, and give an explicit description of their top-dimensional Chow group. Our results are unconditional when p≠ 2. The main innovation is a new method for analyzing the vanishing locus of Galois cup products valued in high dimensions.
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