114 citations · 522 across the 32 of their papers we have counts for
13 papers · 1 filter
Duality functors for Coulomb branches I
Sabin Cautis, Eric Vasserot
To a quiver of finite type one can associate two abelian categories: the category of finite dimensional modules over the corresponding affine quiver Hecke algebra and the Coulomb c…
On the center of the generic affine Hecke algebra
Sabin Cautis, Rachel Ollivier
We identify the center of the generic affine Hecke algebra corresponding to some root datum with the semigroup algebra of the dominant chamber of i…
Rigid dualizing complexes of affine Hecke algebras
Sabin Cautis, Rachel Ollivier
We identify the rigid dualizing complex of the (generic) affine Hecke algebra attached to a reduced root system and deduce some structural properties as a consequence. For ex…
Cluster theory of the coherent Satake category
Sabin Cautis, Harold Williams
We study the category of G(O)-equivariant perverse coherent sheaves on the affine Grassmannian of G. This coherent Satake category is not semisimple and its convolution product is…
Exotic t-structures and actions of quantum affine algebras
Sabin Cautis, Clemens Koppensteiner
We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two differ…
Quantum K-theoretic geometric Satake
Sabin Cautis, Joel Kamnitzer
The geometric Satake correspondence gives an equivalence of categories between the representations of a semisimple group and the spherical perverse sheaves on the affine Gras…