Title:  Subconvexity bounds for Rankin-Selberg L-functions for
congruence subgroups
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Speaker:  Yangbo Ye,  University of Iowa </br>



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Abstract: 
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Let f be a holomorphic cusp form for a Hecke congruence subgroup
of weight k, or a Maass form with Laplace eigenvalue 1/4+k^2. Let
g be a fixed cusp form. We will prove nontrivial (subconvexity)
bounds for the Rankin-Selberg L-function L(s,fxg) for s=1/2, when
k tends to infinity.
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In the first half of the talk, we will discuss the historical
background and standard approach to the problem. This first half
is accessible to any graduate students. In the second half, we
will in turn introduce various analysis techniques and prove
subconvexity bounds of different strength.