Special Session 85: 

Rigorous numerics for finding the monodromy matrix of a Picard-Fuchs type hypergeometric differential equation

Akitoshi Takayasu
University of Tsukuba
Japan
Co-Author(s):    Naoya Inoue, Toshimasa Ishige
Abstract:
In this talk, we present a numerical method for rigorously finding the monodromy of a Picard-Fuchs type hypergeometric differential equation. From the base point defined by fundamental solutions, we analytically continue the solution on a contour around singular points using rigorous integrator. Then, we find the monodromy matrix of the hypergeometric differential equation, which presents the fundamental group of the equation.