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On the stable trace formula for Sp4
Published/Copyright:
July 6, 2009
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 Sp4 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 Sp4. We prove this weighted fundamental lemma and thereby make Arthur's stabilization of the Sp4 trace formula unconditional.
Received: 2006-11-30
Published Online: 2009-07-06
Published in Print: 2009-September
© Walter de Gruyter Berlin · New York 2009
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- On the stable trace formula for Sp4
- Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
- Deformation theory of representations of prop(erad)s I
- Normes invariantes et existence de filtrations admissibles
- Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation
- Construction of type II1 factors with prescribed countable fundamental group
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Articles in the same Issue
- On the stable trace formula for Sp4
- Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
- Deformation theory of representations of prop(erad)s I
- Normes invariantes et existence de filtrations admissibles
- Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation
- Construction of type II1 factors with prescribed countable fundamental group
- Prym-Tyurin varieties via Hecke algebras
