应6163银河线路检测中心数学系张毅超教授邀请，香港大学Ben Kane教授于2017年6月26日至2017年7月1日在6163银河线路检测中心数学系进行学术访问，并于6月29日（周四）上午11:00-12:00、下午15:30-16:30在正心楼203作学术报告，详细信息如下，欢迎大家参加！

报告题目：1. Sign changes of Fourier coefficients of cusp forms and representations of integers by quadratic polynomials. 2. Regularized inner products and meromorphic modular forms.

报告摘要：1. In this talk, we discuss an application of recent results involving sign changes of Fourier coefficients of cusp forms. In particular, we discuss their applications to the study of representations of integers by totally positive ternary quadratic polynomials. Part of this is work in progress, while another is based on joint work with K.C. Fung, with a specific application of the latter part in showing the halting of an algorithm to compute a supersingular elliptic with a given endomorphism ring. 2. In this talk, we discuss regularized inner products between meromorphic modular forms. In addition to their established applications via theta lifts, we will introduce a realization of higher Green’s functions evaluated at CM-points as an inner product and give a new interpretation to weakly holomorphic Hecke eigenforms. This is based on joint work with Kathrin Bringmann and Anna von Pippich.

报告时间：2017年6月29日（周四）上午11:00-12:00、下午15:30-16:30

报告地点：正心楼203

讲座嘉宾：Ben Kane

嘉宾简介：Ben Kane是香港大学数学系教授，17年获得Hong Kong Mathematical Society Young Scholar Award。主要研究方向是正则化内积以及弱全纯模形式，并且研究了尖形式的傅里叶系数符号的改变等问题，在数论的众多其他分支有很好的应用。