SMS scnews item created by Tom Goertzen at Fri 30 Oct 2026 0955
Type: Seminar
Distribution: World
Expiry: 8 Nov 2026
Calendar1: 6 Nov 2026 1200-1300
CalLoc1: SMRI Seminar Room (Macleay Building A12 Room 301)
CalTitle1: Level-rank dualities from d-Harish-Chandra series
Auth: goertzen@toms-mbp-2.shared.sydney.edu.au (tgoe0324) in SMS-SAML
Algebra Seminar
Level-rank dualities from d-Harish-Chandra series
Xue
Ting Xue (University of Melbourne) will be speaking in the algebra seminar. We will go
out for lunch after the talk---all are welcome to join!
When: 12-1pm Friday November 6
Where: SMRI Seminar Room (Macleay Building A12 Room 301)
Title: Level-rank dualities from d-Harish-Chandra series
Abstract: 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.
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