114 citations · 500 across the 43 of their papers we have counts for
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Reducedness of affine Grassmannian slices in type A
Joel Kamnitzer, Dinakar Muthiah, Alex Weekes +1
We prove in type A a conjecture which describes the ideal of transversal slices to spherical Schubert varieties in the affine Grassmannian. As a corollary, we prove a modular descr…
Categorical geometric symmetric Howe duality
Sabin Cautis, Joel Kamnitzer
We provide a natural geometric setting for symmetric Howe duality. This is realized as a (loop) sl(n) action on derived categories of coherent sheaves on certain varieties arising…
Comultiplication for shifted Yangians and quantum open Toda lattice
Michael Finkelberg, Joel Kamnitzer, Khoa Pham +2
We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl_2. At the classical level this corresponds to the multiplication of sc…
On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian
Joel Kamnitzer, Dinakar Muthiah, Alex Weekes
We study spherical Schubert varieties in the affine Grassmannian. These Schubert varieties have a natural conjectural modular description due to Finkelberg-Mirković. This modular d…
Associated graded of Hodge modules and categorical sl_2 actions
Sabin Cautis, Christopher Dodd, Joel Kamnitzer
One of the most mysterious aspects of Saito's theory of Hodge modules are the Hodge and weight filtrations that accompany the pushforward of a Hodge module under an open embedding.…