## Graduate Algebraic Geometry Seminar

Tabes Bridges

UIC

Moduli of Surfaces: Difficulties & Inroads, or: Things Fall Apart

**Abstract:**I will briefly review some history and state some relevant definitions, in particular the notion of a stable variety due to Kollár and Shepherd-Barron. I will then illustrate by example the greater subtleties that arise in studying families of surfaces. Finally, I will describe a few special cases in which progress has been made.

Wednesday January 18, 2017 at 3:00 PM in SEO 712