A theta operator for the group GSp 4

Key Points

• The research aims to construct a differential operator on sheaves of p-adic modular forms using an innovative approach for the GSp group.
• Applied a revised method based on S. Howe's work in constructing a theta operator for elliptic cases.
• Focused on the locus of p-rank greater than or equal to 1 on the Siegel threefold.
• Successfully defined a new differential operator for p-adic modular forms.
• Built upon existing frameworks to expand the mathematical understanding of differential operators.