报告时间：2026年6月25日（周四）上午 09:30-10:30
报告地点：苏州大学天赐庄校区精正楼311
报告人：秦翊宸 研究员，复旦大学
报告摘要：
G-functions are special power series of arithmetic nature that solve linear differential equations. A rich source of examples, first observed by Siegel, comes from algebraic substitutions of the classical Gauss hypergeometric series. In this talk, we show that not all G-functions arise in this way, thereby giving a negative answer to Siegel's problem for G-functions, as formulated by Fischler and Rivoal. The main ingredients of the proof are the monodromy computations of hypergeometric local systems due to Beukers and Heckman, as well as results on invariant trace fields of Fuchsian groups. This is a joint work with Javier Fresán and Joshua Lam.
报告人简介：
秦翊宸，复旦大学永利皇宫-永利皇宫赌场-永利皇宫app 研究员，博导，分别于清华大学、巴黎高等师范永利皇宫 、巴黎综合理工取得本科、硕士、博士学位，曾在柏林洪堡大学从事博士后研究工作。长期从事指数和，周期函数及Hodge理论相关研究，成果发表于PLMS、Crelle's J.、Algebra & Number Theory等期刊。
邀请人：董自康