세미나 구독자 분들께,

안녕하세요. 7/9, 7/23에 예정된 두가지 줌 강연을 안내드립니다. 관심있는 분들은 참여바랍니다.

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日時: 2025年7月9日(水) 14:30~16:00 場所: I-siteなんば S1 (及びZoomでのハイブリッドの予定) https://www.omu.ac.jp/isite/ 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.

https://omu-ac-jp.zoom.us/j/92690571455?pwd=NOCkjEJr4YU9NRypaocmLfRCSdZ8oY.1

ミーティング ID: 926 9057 1455 パスコード: 854078

_______________________________________________ 日時: 2025年7月23日(水) 15:30~17:00 場所: I-siteなんば S1 (及びZoomでのハイブリッドの予定) https://www.omu.ac.jp/isite/

講演者: 村田 遼人氏(東京大学 数理科学研究科)

タイトル: A diagrammatic approach to reflection functors

アブストラクト For an arbitrary symmetrizable generalized Cartan matrix, the category of modules over the quiver Hecke algebra provides a categorification of the associated quantum group. In this talk, I will present a detailed construction of reflection functors that categorify Lusztig's braid group action, from the viewpoint of higher representation theory. Similar functors have recently been constructed independently by Kashiwara-Kim-Oh-Park.

https://omu-ac-jp.zoom.us/j/91926890789?pwd=ry6OKJbvi55f7lBxPz49ZTMoPZtnGL.1

ミーティング ID: 919 2689 0789 パスコード: 682616

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감사합니다.

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