University of Sydney Algebra Seminar

Ting Xue

Friday 6 November, 12-1pm, in SMRI Seminar Room (Macleay Building A12 Room 301)

Level-rank dualities from d-Harish-Chandra series

We explain a conjectural generalisation of Uglov’s level-rank (Koszul) duality that arises from the theory of d-Harish-Chandra series introduced by Broué-Malle-Michel (which has applications to modular representation theory of finite groups of Lie type). We discuss connections with character sheaves for graded Lie algebras and Oblomkov-Yun’s construction of rational Cherednik algebra modules using affine Springer fibres. This is based on joint work with Minh-Tam Trinh.