seminar: Birational models of moduli spaces and geometric invariant theory

speaker: Brendan Hassett (Rice University)

abstract: The Deligne-Mumford compactification of the moduli space of curves of genus g has many wonderful properties, but there are numerous alternatives that can be constructed using invariant theory and techniques from the minimal model program. Examples include

-pseudostable curves (due to D. Schubert)

-weighted pointed stable curves of genus zero (with M. Simpson)

-moduli of bicanonical curves (with D. Hyeon)

-moduli of m-stable pointed curves of genus one (due to D. Smyth)

We focus on developing new modular interpretations of geometric invariant theory compactifications, which facilitate comparisons with existing spaces. This yields new information on the birational structure (and especially the cone of ample divisors) of the Deligne-Mumford compactification.

timetable:
Tue 24 Jun, 9:00 - 10:00, Aula Dini
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