Types and unitary representations of reductive p-adic groups
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DOI: 10.1007/s00222-018-0790-4
Abstract: We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces… read more here.
Keywords: representations reductive; adic groups; unitary representations; types unitary ... See more keywords
Signature ( n − 2,2) CM types and the unitary Colmez conjecture
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DOI: 10.1016/j.crma.2018.06.008
Abstract: Colmez conjectured a formula relating the Faltings height of CM abelian varieties to a certain linear combination of log derivatives of $L$-functions. In this paper, we study the case of unitary CM fields and by… read more here.
Keywords: signature types; conjecture; colmez conjecture; types unitary ... See more keywords