Luca Schaffler, An Explicit Wall Crossing for the Moduli Space of Hyperplane Arrangements

B236-1 IBS, Korea, Republic of

    Speaker Luca Schaffler Roma Tre University The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these, there is a toric compactification that generalizes the Losev-Manin moduli space of points on the line. We study

Yen-An Chen, Toric Fano Foliations

B236-1 IBS, Korea, Republic of

    Speaker Yen-An Chen National Taiwan University In recent years, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk, I will discuss the

Luca Schaffler, Unimodal Singularities and Boundary Divisors in the KSBA Moduli of a Class of Horikawa Surfaces

B236-1 IBS, Korea, Republic of

    Speaker Luca Schaffler Roma Tre University Smooth minimal surfaces of general type with K2=1, pg=2, and q=0 constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space M of their canonical models admits a modular compactification M via the minimal model program. We describe eight new irreducible boundary

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