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Drinfeld \(D\)-shtukas with symmetric modification and base change identity. (\(D\)-chtoucas de Drinfeld à modifications symétriques et identité de changement de base.) (French. English summary) Zbl 1147.22012
Summary: We give a new proof of the base change fundamental lemma for \(\text{GL}_n\) for certain Hecke functions by comparing the cohomology of two different moduli spaces of D-shtukas. The original proofs, due to Clozel and Labesse, make use of the trace formula and of the unit case due to Kottwitz.

MSC:
22E50 Representations of Lie and linear algebraic groups over local fields
11F70 Representation-theoretic methods; automorphic representations over local and global fields
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