5 problems

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Mirabolic Schur–Weyl decomposition for $\mathrm{MT}_\mathbf{v}(2,d)$
Mirabolic Schur–Weyl decomposition. The decomposition of $\mathrm{MT}_\mathbf{v}(2,d)$ as a bimodule for $MU_\mathbf{v}(2,d)$ and $R_d$ should be
Conjectureopenmirabolic-representation-theory quantum-groups schur-weyl-dualityarXiv posted 2 days ago
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Travkin's asymptotic mirabolic bimodule conjecture
Asymptotic mirabolic bimodule conjecture. The based bimodule
Conjectureopenasymptotic-algebras kazhdan-lusztig-theory mirabolic-representation-theoryarXiv posted 2 days ago
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Travkin's character-sheaf formula conjecture for mirabolic Kazhdan–Lusztig basis elements
Mirabolic character-sheaf formula conjecture.
Conjectureopencharacter-sheaves kazhdan-lusztig-theory mirabolic-representation-theoryarXiv posted 2 days ago
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Travkin's bimodule Kazhdan–Lusztig cell conjecture for microlocal cells
Bimodule–microlocal cell conjecture. The bimodule Kazhdan–Lusztig cells coincide with the two-sided microlocal cells.
Conjectureopenkazhdan-lusztig-theory microlocal-geometry mirabolic-representation-theoryarXiv posted 2 days ago
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Travkin's mirabolic RSK conjecture for bimodule Kazhdan–Lusztig cells
Mirabolic RSK cell conjecture. Two colored permutations $\tilde w,\tilde w'\in RB_N$ lie in the same bimodule Kazhdan–Lusztig cell if and only if
Conjectureopenkazhdan-lusztig-theory mirabolic-representation-theory robinson-schenstedarXiv posted 2 days ago

5 problems

Mirabolic Schur–Weyl decomposition for MTv(2,d)\mathrm{MT}_\mathbf{v}(2,d)MTv​(2,d)

Travkin's asymptotic mirabolic bimodule conjecture

Travkin's character-sheaf formula conjecture for mirabolic Kazhdan–Lusztig basis elements

Travkin's bimodule Kazhdan–Lusztig cell conjecture for microlocal cells

Travkin's mirabolic RSK conjecture for bimodule Kazhdan–Lusztig cells

Mirabolic Schur–Weyl decomposition for $\mathrm{MT}_\mathbf{v}(2,d)$