MathDB4 problems
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Aubert–Baum–Plymen–Solleveld conjecture on twisted extended quotients of Bernstein blocks
Aubert–Baum–Plymen–Solleveld conjecture. The set of irreducible objects in a Bernstein block has the structure of a particular twisted extended quotient.
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Existence of types in Bernstein blocks
Existence-of-types conjecture. Every Bernstein block admits a type.
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Aubert–Moussaoui–Solleveld Bernstein-block LLC conjecture
Aubert–Moussaoui–Solleveld's Bernstein-block conjecture. The local Langlands correspondence for induces a bijection
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The conjectural equivalence of simple Bernstein blocks for related general linear groups
Conjectural equivalence of Bernstein blocks. There is an equivalence of categories