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Seminar

Level-rank dualities from d-Harish-Chandra series

Speaker
Ting Xue (University of Melbourne)
Date
Thu, Nov 20 2025, 2:30pm
Location
383N
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We explain a conjectural generalisation of Uglov’s level-rank 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.