MAT 690: Advanced Topics in Algebraic Geometry
Announcements
- Welcome to the course!
About the course
The goal is to give an introduction to Hodge modules in dimension one. Most of the course will be about variations of Hodge structure over curves, their local and global properties (Schmid, Zucker), and applications to algebraic geometry.
Time and location
We meet on Monday and Wednesday, 2:30–3:50 pm, in room Physics P–129 (of the Physics building).
Office hours
My office hours are Friday, 10am to 12pm, and by appointment.
Lecture notes
- Lecture 1 (August 26)
- Lecture 2 (August 28)
- Lecture 3 (September 4)
- Lecture 4 (September 9)
- Lecture 5 (September 11)
- Lecture 6 (September 16)
- Lecture 7 (September 18)
- Lecture 8 (September 23)
- Lecture 9 (September 25)
- Lecture 10 (September 30)
- Lecture 11 (October 2)
- Lecture 12 (October 7)
- Lecture 13 (October 9)
- Lecture 14 (October 21)
- Lecture 15 (October 23)
- Lecture 16 (October 28)
- Lecture 17 (October 30)
- Lecture 18 (November 4)
- Lecture 20 (November 11)
- Lecture 21 (November 13)
- Lecture 22 (November 18)
Suggested reading
- Variation of Hodge structure: the singularities of the period mapping (by Wilfred Schmid)
- Hodge theory with degenerating coefficients. L2 cohomology in the Poincaré metric (by Steven Zucker)