Establishes reciprocity of wavefront sets and proves the Wavefront Set Conjecture for generic L-parameter representations of classical groups, determining the microlocal structure of characters via arithmetic L-data.
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math.RT 2years
2026 2verdicts
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New proof via Sommers duality of Bai--Ma--Wang partition algorithm for annihilator varieties of highest weight modules.
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Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
Establishes reciprocity of wavefront sets and proves the Wavefront Set Conjecture for generic L-parameter representations of classical groups, determining the microlocal structure of characters via arithmetic L-data.
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A new proof for the partition algorithm of the annihilator varieties of highest weight modules
New proof via Sommers duality of Bai--Ma--Wang partition algorithm for annihilator varieties of highest weight modules.