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Orbits and representations of Lie type groups over local rings
陈哲(汕头大学)
Thursday, April 25th, 2019, 2:00 PM 闵行数学楼402报告厅 |
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摘要：In this talk I would start by introducing classical Deligne--Lusztig theory via concrete examples. Then I discuss its generalisation for reductive groups over discrete valuation rings. In this latter case, besides the Deligne--Lusztig theory one also has a clifford theoretic approach to their representations, using orbits of the Lie algebras; I will report some recent progress concerning the interaction between higher Deligne--Lusztig representations and these orbits.
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