Takeshi Ikeda

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20242026

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math.RT2026

Minuscule Relations in Quantum $K$ -Theory of Flag Varieties

Koushik Brahma, Yicen Huang, Takeshi Ikeda +2

We study the quantum $K$ -theory of the flag variety $G / B$ . For each minuscule fundamental weight $ϖ$ , we construct an explicit relation in the torus-equivariant quantum $K$ -th…

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.CO2026

Neutral-Fermion constructions of factorial $g p$ -and $g q$ -Functions

Koushik Brahma, Takeshi Ikeda, Shinsuke Iwao +1

We develop neutral-fermionic constructions for the factorial $g p$ -and $g q$ -functions introduced by Nakagawa and Naruse, which are respectively dual to the factorial $GQ$ - and $GP$ -…

math.AG2026

Seidel product formula in equivariant quantum $K$ -theory of flag varieties

Takeshi Ikeda, Takafumi Kouno, Satoshi Naito

We prove a Seidel product formula for the torus-equivariant quantum $K$ -theory of a generalized flag variety $G / P .$ This is a natural generalization of the corresponding results by…

Minuscule Relations in Quantum K-Theory of Flag Varieties

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

Neutral-Fermion constructions of factorial gp-and gq-Functions

Seidel product formula in equivariant quantum K-theory of flag varieties

Minuscule Relations in Quantum $K$ -Theory of Flag Varieties

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

Neutral-Fermion constructions of factorial $g p$ -and $g q$ -Functions

Seidel product formula in equivariant quantum $K$ -theory of flag varieties