讲座预告 | Twisted Siegel-Weil formulas for GL_2 over non-Galois quartic CM fields
Title: Twisted Siegel-Weil formulas for GL_2 over non-Galois quartic CM fields
Time: 3月24日 14：00
Place: 数学楼4108
Abstract:
Siegel-Weil formulas establish a relation between integral of theta functions and Eisenstein series.
In this talk, we will introduce a twisted Siegel-Weil formula over non-Galois quadric CM fields, which shows that the twisted theta integral against a quadratic character is the same as the Doi-Naganuma lift of Hecke's integral.
This implies the base change of Jacquet-Langlands correspondence for certain Hecke characters from Q to real quadratic fields by Doi-Naganuma lift is surjective.
If time permits, we will also introduce its application to calculate the twisted CM values of Borcherds forms.
个人简介：张明宽，Technical University of Darmstadt博士后，于2025年在哈尔滨工业大学获得博士学位，研究方向是Hilbert modular forms, theta lift and CM values of modular functions，成果发表于Journal of number theory，International journal of number theory等期刊。
