Conjecture that simple geodesics on finite modular covers have transcendental or algebraic endpoints, proved for minimal laminations.
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Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
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Transcendence of simple geodesics on finite modular covers
Conjecture that simple geodesics on finite modular covers have transcendental or algebraic endpoints, proved for minimal laminations.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.