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Effective Subconvexity Bounds for GL(2) [Feb 2012]
DATE:2012-02-14  
Speaker: Han Wu, EPFL Lausanne
Title: Effective Subconvexity Bounds for GL(2)
Venue: B1044
Time:   16:00-17:30, 16 Feb, THU
Abstract: Following Jacquet and Langlands' interpretation of L-functions in [1], Michel and Venkatesh used smooth functions in an automorphic representation to establish subconvexity bounds in [2]. We present a method based on [2] to give explicit and effective subconvexity bounds, which coincide with the Burgess' bounds in the classical cases under the Ramanujan conjecture. We'll briey give an example of application if time permits.
References:
[1] H.Jacquet and R.P.Langlands: Automorphic Forms on GL(2). Lecture Notes in Mathematics: 114. Springer-Verlag, 1970
[2] Ph.Michel, A.Venkatesh: The Subconvexity Problem for GL2. Institut des Hautes Etudes Scienti ques, 2010

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