Compactifying moduli of pointed projective spaces up to automorphisms

Date: 2021-11-19

Time: 09:45 - 10:45

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Luca Schaffler


In this talk, we consider the compactification problem for point configurations modulo automorphisms, and we construct a geometric and functorial compactification for points in the projective plane. The boundary parametrizes the n-pointed central fibers of Mustafin joins associated to one-parameter degenerations of n points in P^2 (joint work with J. Tevelev). Finally, we discuss the first steps towards extending this to projective spaces of arbitrary dimension, which led to the study of a possible generalization of the Losev-Manin moduli space (joint work with S. Di Rocco).