Stratifications in the Moduli Space of Stable Surfaces

Explore a comprehensive lecture on stratifications in the moduli space of stable surfaces, delivered by Sönke Rollenske from the University of Marburg. Delve into the Gieseker moduli space of surfaces of general type and its modular compactification. Examine the limited knowledge surrounding "new" surfaces in the boundary and investigate different organizational approaches, with a focus on the Hodge-theoretic method proposed by Green, Griffiths, Laza, and Robles. Gain insights through numerous examples and visual illustrations, drawing from joint work with B. Anthes, M. Franciosi, and R. Pardini. This hour-long presentation offers a deep dive into advanced mathematical concepts, providing valuable insights for researchers and students in the field of algebraic geometry.

Stratifications in the Moduli Space of Stable Surfaces