MATH6031A - Topics in Algebra I - 2014/15
Chan, Kwok Wai
- Office: LSB 212
- Tel: 3943-7976
Time and Venue
- Lecture: Thu 1:30pm-4:15pm, LSB 222
This course is an introduction to Algebraic Geometry via the theory of toric varieties. These varieties serve as a good source of examples to understand many phenomena and results in Algebraic Geometry. Since they correspond to objects which are similar to simplicial complexes in topology, they are very computable and concrete. For this reason, toric varieties have been a remarkably fertile testing ground for general theories (e.g. Minimal Model Program, Mirror Symmetry, etc).
In this course, we will start with the general definitions and constructions in toric geometry. We then proceed to discuss the topology and geometry of toric varieties (e.g. divisors and line bundles, (co)homology, characteristic classes, resolution of singularities, etc). Much emphasis will be put on concrete examples and calculations.
- Introduction to Toric Varieties by W. Fulton
- Toric Varieties by D. Cox, J. Little and H. Schenck
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:http://www.cuhk.edu.hk/policy/academichonesty/
and thereby help avoid any practice that would not be acceptable.
Last updated: August 25, 2014 13:49:05