A series of three symposia took place on the topic of trace
formulas, each with an accompanying proceedings volume. The present
volume is the third and final in this series and focuses on
relative trace formulas in relation to special values of
L-functions, integral representations, arithmetic cycles, theta
correspondence and branching laws. The first volume focused on
Arthur's trace formula, and the second volume focused on methods
from algebraic geometry and representation theory. The three
proceedings volumes have provided a snapshot of some of the current
research, in the hope of stimulating further research on these
topics. The collegial format of the symposia allowed a homogeneous
set of experts to isolate key difficulties going forward and to
collectively assess the feasibility of diverse approaches.
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