This student seminar is organized as a study group on Martin Wechselberger’s book

Geometric Singular Perturbation Theory Beyond the Standard Form.

 

The seminar will be held every Friday from June 5, 2026 to July 10, 2026, except June 19, 2026.

 

Schedule

Week 1. Introduction, Motivating Examples

Week 2. A Coordinate-Independent Setup for GSPT

Week 3. Loss of Normal Hyperbolicity

Week 4. Relaxation Oscillations in the General Setting

Week 5. Pseudo Singularities and Canards, What We Did Not Discuss

 

This study group aims to provide an introduction to several central ideas in geometric singular perturbation theory (GSPT), with particular emphasis on settings beyond the classical standard form. Through a close reading of Wechselberger’s book, participants will learn how the geometric viewpoint helps analyze multi-scale dynamical systems and understand phenomena that are difficult to capture by more elementary methods.

 

A main goal of the seminar is not only to read through the material, but also to build a working understanding of the key concepts and techniques appearing in modern GSPT. Special attention will be given to the coordinate-independent formulation of the theory, the mechanisms behind the loss of normal hyperbolicity, and the appearance of important dynamical phenomena such as relaxation oscillations, pseudo-singularities, and canards.

 

Participants are expected to take an active role in the seminar by reading the assigned material in advance, presenting selected parts of the text, and discussing the main ideas and examples together. The seminar is intended to help students become familiar with both the geometric intuition and the analytical framework underlying singular perturbation problems, and to develop the background needed for further study in dynamical systems and related areas.

 

Link Infromation: https://us02web.zoom.us/j/86812627849?pwd=3b5bY0zHr05mR7uyB4gHaFhQEiegVP.1

Meeting ID: 868 1262 7849

Passcode: 510367

 

Organizer: Tai-Chia Lin (NTU)