Description
Book SynopsisThese papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic $p$ and Hodge theory.
Table of Contents
- B. Lehmann, A snapshot of the Minimal Model Program
- Z. Patakfalvi, K. Schwede, and K. Tucker, Positive characteristic algebraic geometry
- O. Tommasi, The geometry of the moduli space of curves and abelian varieties
- J. Huizenga, Birational geometry of moduli spaces of sheaves and Bridgeland stability
- E. Clader, Gromov-Witten theory: From curve counts to string theory
- D. Chen, Teichmuller dynamics in the eyes of an algebraic geometer
- A. Auel and M. Bernardara, Cycles, derived categories, and rationality
- C. Robles, Degenerations of Hodge structure
- D. Erman and S. V. Sam, Questions about Boij-Soderberg theory
- B. Antieau and E. Elmanto, A primer for unstable motivic homotopy theory.
