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Abstract Sönke Rollenske

Sönke Rollenske will speak on

Stratifications in the moduli space of stable surfaces,
(based on joint work with B. Anthes, M. Franciosi, R. Pardini)

Abstract: The Gieseker moduli space of surfaces of general type admits a modular compactification, the moduli space of stable surfaces. Our knowledge about the "new" surfaces in the boundary is still limited and I will discuss different possibilities to organise them, in particular a Hodge-theoretic approach proposed by Green, Griffiths, Laza, and Robles.

Everything will be illustrated with many pictures.