Geodesic
Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms
Frank Calegari 1   ; Matthew Emerton 1
1 Department of Mathematics<br/>Northwestern University<br/>2033 Sheridan Road<br/>Evanston, IL 60208-2730<br/>United States
Annals of mathematics, Tome 170 (2009) no. 3, pp. 1437-1446 Cet article a éte moissonné depuis la source Annals of Mathematics website

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Let $G_\infty$ be a semisimple real Lie group with unitary dual $\widehat{G}_{\infty}$. We produce new upper bounds for the multiplicities with which representations $\pi \in \widehat{G}_{\infty}$ of cohomological type appear in certain spaces of cusp forms on $G_\infty$. The main new idea is to apply noncommutative Iwasawa theory to certain $p$-adic completions of the cohomology of locally symmetric spaces.

DOI : 10.4007/annals.2009.170.1437

Frank Calegari  1   ; Matthew Emerton  1

1 Department of Mathematics<br/>Northwestern University<br/>2033 Sheridan Road<br/>Evanston, IL 60208-2730<br/>United States 
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Frank Calegari; Matthew Emerton. Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms. Annals of mathematics, Tome 170 (2009) no. 3, pp. 1437-1446. doi: 10.4007/annals.2009.170.1437

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