Geodesic
Bounds for the multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$
Simon Marshall1
1 Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730
Annals of mathematics, Tome 175 (2012) no. 3, pp. 1629-1651.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove a power saving for the dimension of the space of cohomological automorphic forms of fixed level and growing weight on $\mathrm{GL}_2$ over any number field that is not totally real. Our proof involves the theory of $p$-adically completed cohomology developed by Calegari and Emerton and a bound for the growth of coinvariants in certain finitely generated noncommutative Iwasawa modules.
DOI : 10.4007/annals.2012.175.3.13

Simon Marshall 1

1 Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730 
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Simon Marshall. Bounds for the multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$. Annals of mathematics, Tome 175 (2012) no. 3, pp. 1629-1651. doi : 10.4007/annals.2012.175.3.13. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.3.13/

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