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

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

**Lecture**

**Time.** TBA, currently MWF 14:00-15:00

**N.B.** The first meeting will be on 31 Aug (2pm).
There will be no class in the first week (24-28 Aug).

**Room:** JWB 333

**Course Information**

**Website:** http://www.math.utah.edu/~yplee/teaching/7800f15/

**Textbook:** Tropical Geometry and mirror symmetry by Mark Gross.

**Subject:** MATH.
**Catalogue Number:** 7800.
**Class Index Number:** 16725.

The main theme of this class is the Gross--Siebert program in mirror symmetry. My plan is to follow Gross' book for the first three or four chapters. We will begin at the introductory level, assuming only basic knowledge of algebraic geometry, and spend a few weeks building necessary machinery for the subject. The (perhaps too ambitious) goal is to go through the entire book.

Possible topics include:

- Tropical geometry.
- Gromov--Witten theory.
- Variation of Hodge structure.
- Log geometry.
- Example in complex projective plane.
- Period integrals in tropical geometry.
- Gross--Siebert program.

- Tropical Geometry and mirror symmetry by Mark Gross (N.B. Please do not print the entire book unless you are sure to read it cover to cover!);
- Travis Mandel's notes, especially Ch. 3;
- Mirror Symmetry and the Strominger-Yau-Zaslow conjecture, a survey paper by Gross.