International Seminar on Automorphic Forms

Ball quotients have been studied extensively in algebraic geometry from the aspect of moduli spaces, and in number theory with emphasis on the relation with modular forms. The Deligne-Mostow theory gives them moduli interpretation through the isomorphism between the Baily-Borel compactifications of them and certain GIT quotients.
In this talk, I will discuss whether the isomorphisms given by the Deligne-Mostow theory are lifted to other compactifications from the viewpoint of modular forms and pursue “better” compactifications. Moreover, I will also clarify their connection with the recent development in the minimal model program. This work is based on a joint work with Klaus Hulek (Leibniz University Hannover).

Yota Maeda (Kyoto University)

You can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).