时间:2025年12月4日(星期四)15:00-16:00
地点:西湖大学云谷校区E4-233
主讲人:Yichen Qin, Fudan University
报告题目:On Siegel's problem for G-functions
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. (Joint work with Javier Fresán and Josh Lam)