Transfer Principle for the Fundamental Lemma

Abstract

The purpose of this paper is to explain how the identities of various fundamental lemmas fall within the scope of the transfer principle, a general result that allows to transfer theorems about identities of p-adic integrals from one collection of fields to others. In particular, once the fundamental lemma has been established for one collection of fields (for example, fields of positive characteristic), it is also valid for others (fields of characteristic zero).

31 pages

References in corpus (2)

• Le lemme fondamental pour les groupes unitaires
• A Statement of the Fundamental Lemma

Cited by in corpus (8)

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• Uniform rationality of Poincaré series of p-adic equivalence relations and Igusa's conjecture on exponential sums