135 citations · 247 across the 12 of their papers we have counts for
13 papers
An Iwahori-Whittaker model for the Satake category
Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirković +2
In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite…
Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric Satake equivalence (with appendix by Dennis Gaitsgory)
Michael Finkelberg, Vasily Krylov, Ivan Mirković
Let be a reductive complex algebraic group. We fix a pair of opposite Borel subgroups and consider the corresponding semiinfinite orbits in the affine Grassmannian . We p…
Iwahori-Matsumoto involution and linear Koszul Duality
Ivan Mirković, Simon Riche
We use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in previous papers of the authors to give a g…
Linear Koszul duality and affine Hecke algebras
Ivan Mirković, Simon Riche
In this paper we prove that the linear Koszul duality equivalence constructed in a previous paper provides a geometric realization of the Iwahori-Matsumoto involution of affine Hec…
Linear Koszul Duality
Ivan Mirković, Simon Riche
In this paper we construct, for F_1 and F_2 subbundles of a vector bundle E, a "Koszul duality" equivalence between derived categories of G_m-equivariant coherent (dg-)sheaves on t…
Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
Ivan Mirković, Maxim Vybornov
We construct Nakajima's quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy's) transverse slices naturally arising from affine Grassmannians. In f…