Coherent IC-sheaves on type đŽ_{đ} affine Grassmannians and dual canonical basis of affine type đŽâ
From MaRDI portal
Publication:5150240
DOI10.1090/ert/558zbMath1468.17022arXiv1901.05994OpenAlexW3126894614MaRDI QIDQ5150240
Ryo Fujita, Michael Finkelberg
Publication date: 10 February 2021
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.05994
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grassmannians, Schubert varieties, flag manifolds (14M15) Loop groups and related constructions, group-theoretic treatment (22E67) Cluster algebras (13F60) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
Related Items
Categorification and applications, Coherent categorification of quantum loop algebras: the \(\operatorname{SL}(2)\) case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum unipotent subgroup and dual canonical basis
- Generalized BĂ€cklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective
- Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
- Green polynomials and singularities of unipotent classes
- Cluster structures on quantum coordinate rings
- Shifted quantum affine algebras: integral forms in type \(A\)
- Towards a cluster structure on trigonometric zastava
- Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves
- Quantum cluster algebras.
- ĂlĂ©ments de gĂ©omĂ©trie algĂ©brique. IV: Ătude locale des schĂ©mas et des morphismes de schĂ©mas (QuatriĂšme partie). RĂ©digĂ© avec la colloboration de J. DieudonnĂ©
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- A Quantum Cluster Algebra of Kronecker Type and the Dual Canonical Basis
- Perverse coherent sheaves
- Monoidal categorification of cluster algebras
- On the equivariant đŸ-theory of the nilpotent cone
- Equivariant homology and K-theory of affine Grassmannians and Toda lattices
- Calculations with graded perverse-coherent sheaves
- Cluster theory of the coherent Satake category
- Introduction to quantum groups
