most recent 30 from http://mathoverflow.net 2013-05-22T15:09:25Z http://mathoverflow.net/feeds/user/17526 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/74238/embedding-of-local-tempered-representation-into-cuspidal-automorphic-representati aabihsh 2011-09-01T07:43:34Z 2011-09-30T23:04:01Z

<p>Let v be a finite place of a number field F. Let $\pi_{v}$ be an irreducible tempered representation of $ GL_{n}(F_v)$. Is it true that we can find some irreducible cuspidal automorphic representation $\pi$ of $GL_{n}(\mathbb{A_{F}})$ with $v$-component isomorphic to $\pi_{v}$ ?</p>