Title: Mustafin varieties and moduli of points in the projective plane, II
Speaker: Luca Schaffler
Abstract:
This talk will be a continuation of last week's seminar. We willcompute explicit examples of n-pointed degenerations of the projectiveplane arising from Mustafin varieties. After this, we will discuss more indetail how these can be used to compactify the moduli space of n points inthe projective plane, which we briefly touched upon last week. Theoriginal results are joint work with Jenia Tevelev.
August 31st 2020
Title: Mustafin varieties and moduli of points in the projective plane
Speaker: Luca Schaffler
Abstract:
In this talk we will introduce Mustafin varieties, which arespecific combinatorial 1-parameter degenerations of projective space. Insome cases, we canendow them with n sections, giving rise to n-pointeddegenerations of projective space. These can be used to construct ageometric compactification of themoduli space of n points in theprojective plane, whose study was initiated by Gerritzen and Piwek. Wewill discuss our contributions in this direction. Thisis joint work withJenia Tevelev.