Date:

Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Jacob Keller, University of California San Diego
Title: The Birational Geometry of KModuli Spaces
Abstract: Kstability is a rapidly developing theory that allows one to construct moduli spaces for Fano varieties. In all known examples, Kmoduli spaces are uniruled, so their Kodaira dimensions are negative infinity. In this talk we will describe components of KModuli spaces which are birational to M_g, in particular they have maximal Kodaira dimension when g is sufficiently large. This component parameterizes certain moduli spaces of vector bundles on smooth curves, and the main difficulty is to show that these moduli spaces are Kstable. To establish this we require good understanding of their toric degenerations.
Event Series: