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Introduces a new functor connected to hypercohomology in modular representations, suggesting theoretical implications.
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a symmetric monoidal functor and sends every standard and costandard object in the principal block to a one-dimensional object. We connect this new functor to recent work of Gruber and conjecture that it is isomorphic to hypercohomology under the equivalence of the Finkelberg–Mirković conjecture.
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Baine et al. (2026) studied this question.
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