In order to give new congruence relations for Hecke correspondences on Siegel modular varieties, Hatada analyzes the actions of Hecke rings on Siegel modular varieties of arbitrary degrees and arbitrary levels of three or more using arithmetic toroidal compactifications and rigid analytic spaces, l-adic cohomology, and p-adic Hodge theory. Among his topics are action of double cosets, estimates for all the eigenvalues of Hecke operators on Siegel cusp forms, the generalized Ramanujan conjecture in the Siegel modular case, and Langlands' L-parameters. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)
