Representations on Hessenberg Varieties and Young's Rule by Nicholas Teff

“…We combinatorially construct the complex cohomology (equivariant and ordinary) of a family of algebraic varieties called regular semisimple Hessenberg varieties. This construction is purely in terms of the Bruhat order on the symmetric group. …”
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Euphotic representations and rigid automorphic data by Jakob, Konstantin, Yun, Zhiwei

“…The construction involves the notion of euphotic representations, and the proof for rigidity involves the geometry of certain Hessenberg varieties.…”
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