Add to ORKGWe construct the twist automorphism of open Richardson varieties inside the flag variety of a complex semisimple algebraic group. We show that the twist map preserves totally positive parts, and prove a Chamber Ansatz formula for it. Our twist map generalizes the twist maps previously constructed by Berenstein-Fomin-Zelevinsky, Marsh-Scott, and Muller-Speyer. We use it to explain the relationship between the two conjectural cluster structures for Richardson varieties studied by Leclerc and by Ingermanson.Comment: 37 pages, 4 figures; v2: bibliography update
International audienceWe prove several conjectures about the cohomology of Deligne-Lusztig varieties...
Cluster algebras are integral domains with a particular combinatorial structure. This structure cons...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
The purpose of this document is to connect two maps related to certain graphs embedded in the disc. ...
International audienceThere are two reasonable ways to put a cluster structure on a positroid variet...
Using exceptional theta correspondences we construct a family of Arthur packets for the exceptional ...
We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) ...
The homogeneous coordinate ring of the Grassmannian Grk,n has a cluster structure defined in terms o...
We review several techniques that twist an algebra's multiplicative structure. We first consider twi...
A well-known representation-theoretic model for the transformed Macdonald polynomial $\widetilde{H}_...
Les algèbres amassées sont des anneaux commutatifs intègres avec une structure combinatoire particul...
We answer Hubbard's question on determining the Thurston equivalence class of "twisted rabbits”, i.e...
The Ap\'ery numbers of Fano varieties are asymptotic invariants of their quantum differential equati...
We adapt a construction due to Troesch to the category of strict polynomial superfunctors in order t...
We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjec...
International audienceWe prove several conjectures about the cohomology of Deligne-Lusztig varieties...
Cluster algebras are integral domains with a particular combinatorial structure. This structure cons...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
The purpose of this document is to connect two maps related to certain graphs embedded in the disc. ...
International audienceThere are two reasonable ways to put a cluster structure on a positroid variet...
Using exceptional theta correspondences we construct a family of Arthur packets for the exceptional ...
We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) ...
The homogeneous coordinate ring of the Grassmannian Grk,n has a cluster structure defined in terms o...
We review several techniques that twist an algebra's multiplicative structure. We first consider twi...
A well-known representation-theoretic model for the transformed Macdonald polynomial $\widetilde{H}_...
Les algèbres amassées sont des anneaux commutatifs intègres avec une structure combinatoire particul...
We answer Hubbard's question on determining the Thurston equivalence class of "twisted rabbits”, i.e...
The Ap\'ery numbers of Fano varieties are asymptotic invariants of their quantum differential equati...
We adapt a construction due to Troesch to the category of strict polynomial superfunctors in order t...
We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjec...
International audienceWe prove several conjectures about the cohomology of Deligne-Lusztig varieties...
Cluster algebras are integral domains with a particular combinatorial structure. This structure cons...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...