On the stable trace formula for Sp(4)
Abstract:
For many applications of the trace formula to problems in the theory of
automorphic forms one needs to stabilize the trace formula. Such a stabilization has been achieved
by Arthur, building on work of Langlands and Kottwitz, subject to conjectures for orbital integrals
known as fundamental lemmas. For the group Sp(4) the standard invariant fundamental lemma has
been established by Hales. However for the stabilization of the full trace formula one needs to
prove a fundamental lemma for weighted orbital integrals on Sp(4). We prove this weighted
fundamental lemma and thereby make Arthur's stabilization of the Sp(4) trace formula
unconditional.
Files: [.dvi] [.pdf] [.ps]