Exploring the Boundary of the Moduli Space of Stable Surfaces - I-Surfaces as a Test Case

Explore the boundary of the moduli space of stable surfaces through a detailed examination of I-surfaces in this 46-minute conference talk by Rita Pardini from Università di Pisa. Delve into the characteristics of I-surfaces, defined as minimal complex surfaces of general type with K^2=1 and p_g=2. Gain insights into recent collaborative research with Coughlan, Franciosi, Rana, and Rollenske, which provides a partial description of the boundary points of the KSBA compactification of the moduli space of I-surfaces. This talk, part of the "Periods, Shafarevich Maps & Applications" conference hosted by the University of Miami, offers a deep dive into advanced topics in algebraic geometry and complex surface theory.