A p-adic Interpolation of the Cogdell Lift
发布时间：2026年06月03日
浏览次数：10
发布者: He Liu
主讲人： Francesco Iudica（数学中心）
活动时间： 从 2026-06-05 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
The Cogdell lift is the analogue for Picard modular surfaces of the celebrated Hirzebruch-Zagier theorem. Roughly speaking, the lift takes a class in middle cohomology of a fixed modular surface, and lifts it to a Fourier series whose coefficients are intersection multiplicities of special cycles. Cogdell's result states that the Fourier expansion is in fact an elliptic modular form. In this talk, we apply Lœffler's formalism of spherical varieties to obtain a p-adic analytic version of Cogdell's theorem.
