报告题目: A p-adic twisted adjoint L-function for Hida families on unitary groups

报告人：王政，Université Sorbonne Paris Nord

报告时间：2026年7月3日（星期五）14:30-15:30

报告地点：东区五教5206教室

报告摘要:

The construction of p-adic L-functions interpolating *critical* L-values is, by now, a mature subject. The *non-critical* L-values are less understood. A central instance is the value L(f, Ad⊗α, 1), where f is an elliptic cuspidal eigenform and α is the quadratic character of an imaginary quadratic field F/Q: this value is non-critical in the sense of Deligne, yet it controls congruences between the base change f_F and Bianchi cusp forms on F, and was studied by Hida in 1999.

In this work we extend both the classical picture and its p-adic counterpart to higher rank on unitary groups. We also construct a p-adic interpolation of this value for Hida families.