This workshop, sponsored by AIM and the NSF, will be devoted to applications of recent foundational developments in the theory of algebraic stacks to study specific moduli problems of long-standing interest, such as the moduli of curves, the moduli of higher dimensional varieties and the moduli of principal bundles. This workshop will bring together experts in each of these moduli problems.
Topics: The workshop will focus on the following particularly promising applications: Topic 1: Compactifications of the universal G-bundle over stable curves. Topic 2: Stability conditions for singular curves and the log minimal model program for Mg. Topic 3: Stability conditions for polarized schemes and varieties.