第2回

日時

2025年7月9日(水) 14:30~16:00

場所

i-Siteなんば S1 (およびZoomのハイブリッド形式の予定)

講演者

池田 岳氏(早稲田大学 理工学術院 基幹理工学部)

タイトル

Equivariant K-homology of the affine Grassmannian of the symplectic group

アブストラクト

We study the equivariant $K$-homology of the affine Grassmannian of the symplectic group. This continues the development of affine Schubert calculus, initiated by Peterson, with a major milestone being Lam’s resolution of Shimozono’s conjecture in type A. Our aim is to generalize these results to other types and to deepen the structural understanding of equivariant K-homology. More precisely, we introduce affine double $gp$-functions as combinatorial counterparts of the structure sheaves in the torus-equivariant $K$-homology of the affine Grassmannian of type C. This work is based on joint research with Mark Shimozono and Kohei Yamaguchi.

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