Kottwitz, Robert E. Shimura varieties and \(\lambda\)-adic representations. (English) Zbl 0743.14019 Automorphic forms, Shimura varieties, and L-functions. Vol. I, Proc. Conf., Ann Arbor/MI (USA) 1988, Perspect. Math. 10, 161-209 (1990). Show indexed articles as search result. [For the entire collection see Zbl 0684.00003.] This paper discusses Hasse-Weil zeta-functions of Shimura varieties from the point of view of endoscopy and the stable trace formula. Reviewer: R.E.Kottwitz (Seattle) Cited in 6 ReviewsCited in 32 Documents MSC: 11G18 Arithmetic aspects of modular and Shimura varieties 11F70 Representation-theoretic methods; automorphic representations over local and global fields 11R39 Langlands-Weil conjectures, nonabelian class field theory 11F72 Spectral theory; trace formulas (e.g., that of Selberg) 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Keywords:Hasse-Weil zeta-functions of Shimura varieties; endoscopy; stable trace formula PDF BibTeX XML