MATH777 MODULI SPACES OF CURVES
| Course Code: | 2360777 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
Upon successful completion of this course, a student is expected to understand the various viewpoints for constructing the moduli spaces of algebraic curves of a given genus, and the compactifications of these moduli spaces.
Course Content
Understanding the behavior of families of algebraic curves is of central interest in many branches of mathematics, including algebraic geometry, mathematical physics, low dimensional topology, as well as certain branches of theoretical physics such as string theory and various gauge theories. Moduli spaces of algebraic curves are among the standard tools for researchers working in these areas. The course aims to cover the essentials of the subject and bring the students to a position so that they can access the modern literature.
Course Learning Outcomes
By the end of the course a succesful student will
- Understand various definitions of a moduli space
- Construct and make computations with different compactifications of moduli spaces.