MATH884501, Toric Geometry

Spring 2016

Instructor: Qile Chen

Schedule: Monday, Wednesday, Friday, 2:00 pm - 3:00 pm.

Location: On Monday and Wednesday, we meet in Maloney 560; On Friday, we meet in Maloney 536.

Office hours: Monday 11:00 am -- 12:00 pm, 3:00 pm - 5:00 pm.

Email: first.last at bc dot edu

Textbook: Toric Varieties by David Cox, John Little and Hal Schenck.

Our goal is to cover the following topics:

1. Cones, Fans, Normal toric varieties (Chapter 1 & 3)

2. Polytopes, Projective toric varieties (Chapter 2)

3. Divisors, line bundles (Chapter 4 & 6)

4. Differential forms (Chapter 8)

5. sheaf cohomology (Chapter 9)

6. Toric singularities and resolutions (Chapter 11)

It time allows, we may choose additional topics such as the topology of toric varieties, Hirzebruch-Riemann-Roch, or secondary Fan.