报告题目 (Title)：On the tau function of Q4: II（Q4方程的tau函数: II）
报告人 (Speaker)：James Atkinson副教授 (Northumbria University，UK）
报告时间 (Time)：2024年09月28日; 下午16:00-17:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：张大军
报告摘要：For Q4, I will describe two exact seed solutions and their tau-functions, specifically, those associated with a deformed elliptic curve (in work with F.W.Nijhoff) and those with prescribed singularity patterns (with N.Joshi). A construction for Q4 will be given involving an intermediary polynomial in which variables and parameters are permuted together by the group of the Fano plane. It connects to a birational group obtained via a procedure of symmetry-completion inspired by 3D consistency. The technique is of interest because this correspond to the group of the elliptic Painleve equation.