Title    name ASARC Seminar     Title Approximate Converse theorem   Speaker Min Lee   Date 2012-07-12   Host   Place KAIST   File     Abstract : We present an approximate converse theorem which measures how close a given set of irreducible admissible unramified unitary generic local representations of GL(n) is to a genuine cuspidal representation. To get a formula for the measure, we introduce a quasi-Maass form on the generalized upper half plane for a given set of local representations. We also construct an annihilating operator which enables us to write down an explicit cuspidal automorphic function.

Information Center for Mathematical Sciences KAIST 335 Gwahangno (373-1 Guseong-dong), Yuseong-gu, Daejeon 305-701, Republic of Korea TEL +82-42-869-8195~6, FAX +82-42-869-5722, e-mail : mathnet@mathnet.or.kr Copyright (c) 2009 by ICMS. All Rights Reserved