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Nilpotent orbits, primitive ideals and finite W-algebras

Alexander Premet 教授(曼彻斯特大学)
Tuesday, July 23rd, 2019, 2:30 PM  闵行数学楼402报告厅
摘 要: I will discuss several topics of modular representation theory of restricted Lie algebras. This will include the following topics: 1. reduced enveloping algebras and the current state of the first Kac-Weisfeiler conjecture;
????2. nilpotent orbits and sheets in reductive Lie algebras;
????3. support varieties for non-restricted modules and the second Kac-Weisfeiler conjecture;
????4. finite W-algebras and their modular analogues;
????5. small modular representations and multiplicity-free primitive ideals;
????6. some open problems.
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