13 citations · 44 across the 11 of their papers we have counts for
6 papers · 1 filter
Symplectic resolutions, symplectic duality, and Coulomb branches
Joel Kamnitzer
Symplectic resolutions are an exciting new frontier of research in representation theory. One of the most fascinating aspects of this study is symplectic duality: the observation t…
The Mirkovic-Vilonen basis and Duistermaat-Heckman measures
Pierre Baumann, Joel Kamnitzer, Allen Knutson
Using the geometric Satake correspondence, the Mirkovic-Vilonen cycles in the affine Grasssmannian give bases for representations of a semisimple group G . We prove that these base…
On category for affine Grassmannian slices and categorified tensor products
Joel Kamnitzer, Peter Tingley, Ben Webster +2
Truncated shifted Yangians are a family of algebras which naturally quantize slices in the affine Grassmannian. These algebras depend on a choice of two weights and for a L…
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…
Cyclic sieving, rotation, and geometric representation theory
Bruce Fontaine, Joel Kamnitzer
We study rotation of invariant vectors in tensor products of minuscule representations. We define a combinatorial notion of rotation of minuscule Littelmann paths. Using affine Gra…
Réflexions dans un cristal
Pierre Baumann, Stéphane Gaussent, Joel Kamnitzer
Let g = n^- + h + n^+ be a symmetrizable Kac-Moody algebra. Let B(\infty) be the Kashiwara crystal of U_q(n^-), let λbe a dominant integral weight, let T_λ= {t_λ} be the crystal wi…