南大阪代数セミナー

This project is maintained by ysykimura

第3回

日時

2025年7月23日(水) 15:30~17:00

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

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.

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