Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local trace formula for the Gan-Gross-Prasad conjecture for unitary
  groups: the archimedean case   In this paper, we prove, following earlier work of Waldspurger ([Wa1],
[Wa4]), a sort of local relative trace formula which is related to the local
Gan-Gross-Prasad conjecture for unitary groups over a local field $F$ of
characteristic zero. As a consequence, we obtain a geometric formula for
certain multiplicities $m(\pi)$ appearing in this conjecture and deduce from it
a weak form of the local Gan-Gross-Prasad conjecture (multiplicity one in
tempered L-packets). These results were already known over $p$-adic fields and
thus are only new when $F=\mathbb{R}$.

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The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an