Course Info
- Term: Feb 23, 2026 – June 12, 2026
- Meeting time: Wednesday, 11:10 am – 12:00 noon @ SA320
- Instructor: Jephian Lin | 林晉宏
- Email: jephianlin [at] nycu.edu.tw
- Office: SA336
- Office Hours: By appointment
Tentative Schedule
- February 25 11:10課程介紹
- March 4
11:10廖軒毅教授
Graphs in deformation quantization
Abstract
Deformation quantization is a mathematical framework that formulates the process of quantizing a classical mechanical system into a quantum mechanical one. In this framework, a classical mechanical system is described by a Poisson bivector, while a quantum mechanical system is characterized by a "star product," which is a formal deformation of the multiplication of smooth functions. In this talk, I will introduce Kontsevich's graphical construction of star products and the underlying mathematical structures.
- March 11
11:10黃信元教授
什麼是逆散射變換?
Abstract
本演講為可積系統中 逆散射變換 （Inverse Scattering Transform, IST）的入門介紹。 逆散射變換是一種用來求解某些非線性偏微分方程的分析方法，可視為傅立葉轉換的非線性類比。該方法最早由 Gardner、Greene、Kruskal 與 Miura 提出，用以處理 Korteweg–de Vries（KdV）方程，隨後很快推廣至非線性薛丁格方程、sine-Gordon 方程以及 Toda 晶格方程等可積模型。在本次演講中，我將介紹 KdV 方程的逆散射變換，若時間許可的話，也會談到 IST 與 Riemann–Hilbert 問題之間的關聯。
- March 18
11:10方向教授
TBA
Abstract
TBA
- March 25
11:10戴佳原教授
對稱與破缺
Abstract
我們先欣賞大千世界中美妙的對稱模式（pattern），從雪花晶體，到生物外觀，再到藝術作品。隨後，我們欣賞對稱性的「破缺」（breaking）所帶來的複雜模式，例如動物花紋與移動方式，並說明破缺如何生成可觀察的穩定模式。接著，我聚焦於螺旋模式（spiral pattern），它出現在心臟跳動跟化學反應中，能透過自動機與曲率流的方法進行描述。最後，我會介紹 Alan Turing 的模式生成（pattern formation）理論，他的理論一言以蔽之，就是因為矩陣乘法「不可交換」，我們的世界才如此繽紛多彩。
- April 1
11:10TBA
TBA
Abstract
TBA
- April 8
11:10吳昌鴻教授
TBA
Abstract
TBA
- April 15 期中考週，無安排演講
- April 22
11:10王國仲教授
TBA
Abstract
TBA
- April 29
11:10陳昰宇教授
TBA
Abstract
TBA
- May 6
11:10陳國璋教授
太空計畫的一些數學難題
Abstract
TBA
- May 13
11:10蔡志強教授
TBA
Abstract
TBA
- May 20 11:10無安排演講
- May 27
11:10TBA
TBA
Abstract
TBA
- June 3
11:10黃彥彰教授
TBA
Abstract
TBA
- June 10 期末考週，無安排演講
Policies/Ethics
Accessibility
Students with diverse learning styles and needs are welcome in this course. In particular, if you have a disability/health consideration that may require accommodations, please feel free to approach me.
Grading
Percentage scores will be converted to letter grades according to Regulations for Grading of Students (國立陽明交通大學學生成績作業要點).
Attendance
You are expected to attend the classes.
Missing work
If you miss some course components due to illness, accident, family affliction, or religious observances, please talk to me and provide the documentation. In such cases, the course component is excused, and your course score will be calculated by distributing the weight of the missed item(s) across the other course components. Missing components are limited to at most 20%.
Academic integrity
Do not copy others' work, including others' homework, the textbook, online materials, and others' answers in an exam; if it is really necessary, add proper citations to your references. It makes no point (and gives you no point) if the work is not yours since you learned nothing.