Shinsuke Iwao

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math.RT2026

Relativistic Toda Lattice and Equivariant $K$ -Homology of Affine Grassmannian

Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito +1

We investigate the phenomenon known as ''quantum equals affine'' in the setting of $T$ -equivariant quantum $K$ -theory of the flag variety $G / B$ , as established by Kato for any semi…

math.RT2026

Relativistic Toda lattice of type B and quantum $K$ -theory of type C flag variety

Takeshi Ikeda, Shinsuke Iwao, Takafumi Kouno +2

We introduce a classical integrable system associated with the torus-equivariant quantum $K$ -theory of type C flag variety. We prove that its conserved quantities coincide with the…

math.RT2025

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

Takeshi Ikeda, Shinsuke Iwao, Mark Shimozono

We study the torus-equivariant homology $H_{*}^{T} (Gr_{G})$ of the affine Grassmannian $Gr_{G}$ , where $G = Sp_{2 n} (C)$ is the symplectic group. This homo…

Relativistic Toda Lattice and Equivariant K-Homology of Affine Grassmannian

Relativistic Toda lattice of type B and quantum K-theory of type C flag variety

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur P-functions

Relativistic Toda Lattice and Equivariant $K$ -Homology of Affine Grassmannian

Relativistic Toda lattice of type B and quantum $K$ -theory of type C flag variety

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions