On a truncation variation of Arthur. (Sur une variante des troncatures d’Arthur.) (French. English summary) Zbl 1453.11073
Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer. Simons Symp., 85-120 (2018).
Summary: We show that, for a large class of test functions, the unipotent contributions in the trace formula for \(GL(n)\) over a number field, can be obtained from zeta functions and integrals of Eisenstein series. The main innovation is a new truncation borrowed from a work of O. Schiffmann [Ann. Math. (2) 183, No. 1, 297–362 (2016; Zbl 1342.14076)] on Higgs bundles.
For the entire collection see [Zbl 1401.11005].
For the entire collection see [Zbl 1401.11005].
MSC:
| 11F72 | Spectral theory; trace formulas (e.g., that of Selberg) |
| 11F70 | Representation-theoretic methods; automorphic representations over local and global fields |
