Assuming the stated finite-level Ramanujan–Arthur decomposition, every occurring cuspidal excursion parameter for a split connected semisimple group over a global function field at a specified full finite level has one algebraic SL2 and commuting Weil centralizer map recovering the parameter on the entire Weil group, including inertia.
Assuming the stated finite-level Ramanujan–Arthur decomposition, every occurring cuspidal excursion parameter for a split connected semisimple group over a global function field at a specified full finite level has one algebraic SL2 and commuting Weil centralizer map recovering the parameter on the entire Weil group, including inertia.
Assuming the stated finite-level Ramanujan–Arthur decomposition, every occurring cuspidal excursion parameter for a split connected semisimple group over a global function field at a specified full finite level has one algebraic SL2 and commuting Weil centralizer map recovering the parameter on the entire Weil group, including inertia.
If correct under its stated hypothesis, supplies a single global Arthur enhancement compatible with ramification and the complete excursion parameter.
Under the stated finite-level decomposition, does a cuspidal excursion parameter admit one global Arthur enhancement?
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OpenAI reports conditional global Arthur enhancements at full finite level
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