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- FIELD
- Mathematics
- DATE
-
Sep 18 (Thu), 2025
- TIME
- 10:30 ~ 11:30
- PLACE
- ONLINE
- SPEAKER
- Haruto Murata
- HOST
- Lee, Sin-Myung
- INSTITUTE
- The University of Tokyo
- TITLE
- A diagrammatic approach to reflection functors
- ABSTRACT
- 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.
- FILE
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