For the UCSD Algebraic Geometry seminar, please go to the main seminar page, maintained by UCSD graduate student Shubham Saha. We meet on Fridays from 4 - 5 pm in AP&M 7321.
In Fall 2024, we are running a learning seminar on Moduli of Varieties. We meet on Tuesdays from 2 - 3 pm in AP&M 7218.
Some overall references:
Big picture summary, some good discussion of representability of moduli functors and outline of moduli spaces in general: Kovács Young Person's Guide to Moduli
Classic reference on moduli of curves: Harris - Morrison Moduli of curves
All* of the details on KSB(A) moduli, primarily chapters 1 - 3: Kollár Families of varieties of general type
GIT and moduli (examples in Ch. 3 - 4): Mumford Geometric invariant theory
Stacks and moduli functors, all of the details about M_g and \overline{M}_g: Alper Stacks and moduli
Shorter notes on moduli that I wrote for a summer school
Schedule:
October 22: Kristin
An introduction to moduli problems
October 29: Zain
Properties of M_g (some references if you want to read ahead: Harris-Morrison 2C, 3C, 6A, Alper 5.7)
November 5: Shubham
Introduction to GIT
November 12: Felipe
MMP and KSBA moduli spaces
November 19: Shubhankar
Introduction to stacks (if you want to read ahead: Alper 2.5, or several possible survey articles, like this one)
November 26:
December 3: