A perspective on explicit compactifications of the moduli space of surfaces and pairs

Abstract: In this talk, we will discuss techniques for explicitly describing the degenerations parametrized by the KSBA moduli space of surfaces and log pairs of general type. We will focus on specific examples, such as certain Horikawa surfaces and cubic surfaces, and how our techniques have been applied to them. These results were obtained in joint work with L. Schaffler, G. Pearlstein, Z. Zhang, and M. Kerr.

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com