【湖南大学】Congruences for modular forms and applications to crank functions

报告题目：Congruences for modular forms and applications to crank functions

报 告 人：张文静 副教授（湖南大学）

报告时间：2023 年 12 月 24 日（星期日） 10:30-11:00

报告地点：海山楼（创新园大厦）B1212

校内联系人：陈曦 副教授    联系方式：84708351-8025

报告摘要: In this talk, motivated by the work of Mahlburg, we find congruences for a large class of modular forms. Moreover, we generalize the generating function of the Andrews-Garvan-Dyson crank on partition and establish several new infinite families of congruences. We also give several noteworthy examples of crank functions, including the crank of $k$-colored partitions. This work is joint with Hao Zhang.

报告人简介：张文静，湖南大学数学学院副教授，2019年博士毕业于天津大学应用数学中心，师从陈永川教授，主要研究组合数学、特殊函数与整数分拆，论文发表在Proc. Amer. Math. Soc.，Adv. in Appl. Math.，J. Number Theory等国际期刊，主持国家青年基金、面上项目各一项。