**Instructor:** Y.P. Lee, JWB 305

**Office Hours:**
Any time my office door is open.

**Lecture**

**Time.** TBA, currently TuTh 12:25-13:45

**Room:** CSC 25

**Course Information**

**Website:** http://www.math.utah.edu/~yplee/teaching/7800f18/

**Textbook:** None, but will provide references and sometimes typed notes.

**Notes:** Preliminary notes.

**Subject:** MATH.
**Catalogue Number:** 7800.
**Class Index Number:** 12172.

The main theme of this class is the interplay between the classical theory of curves and the integrable systems. Some basic knowledge on algebraic geometry will be required, but we will review part of the classical theory of algebraic curves. The level of the review will depend on the participating students. My plan is to start with very quick introduction to integrable systems. Then we will review classical theory of curves and their Jacobians, before going back to integrable systems, using KdV as an example.

Possible topics include:

- Introduction to integrable systems on curves. (My own notes?)
- Classical curve theory (as in textbooks by R. Hartshorne and P. Griffiths -- J. Harris + course notes).
- Fundational paper by G. Segal and G. Wilson on generalized KdV.
- Other papers, e.g., those by J.-L. Verdier and A. Treibich.