Colloquiums and Conferences

Professor Jinzhi Lei was invited to give a lecture

发布时间: 2023-06-07 21:48:00

Topic Starting from Solving Differential Equations: A Theory on the Integrability of Ordinary Differential Equations

SpeakerJinzhi Lei

Time2023-06-06 16:30-17:30

Tencent Meeting ID 669-2471-6718

Introduction

    This report starts with the solvability of differential equations and reviews several key theories and concepts within the integrability theory of ordinary differential equations, including Galois theory, Liouville's theorem, Lie groups, monodromy groups, and differential Galois theory. Finally, the report introduces a classification of second-order polynomial systems according to differential Galois theory and several conjectures related to Hilbert's sixteenth problem based on this classification.

Organizer

School of Mathematical Sciences, South China Normal University, Machine Learning and Optimization Computing Laboratory

Co-organizers

Guangdong Young Scientists Association