2025 Theses Doctoral

A higher Hida cuspidal Siegel Eisenstein family for GSp₄

Chiang, Hung

We consider cuspidal Siegel Eisenstein series on GSp₄ and define explicit rational Λ-adic families of Eisenstein cohomology classes on Siegel 3-folds. Under standard assumptions, we prove that these rational families are integral in the context of higher Hida theory. This provides the first example of an explicit integral family of Eisenstein cohomology classes in higher degrees.