Algebraic Geometry Seminar: Towards a moduli theory for canonical models of foliated surfaces of general type, by Roberto Svaldi
January 13, 2025
3:00 PM - 3:50 PM
Roberto Svaldi (Università degli Studi di Milano): Towards a moduli theory for canonical models of foliated surfaces of general type
In recent years there has been considerable progress in extending the
ideas and techniques of the Minimal Model Program beyond the realm of
algebraic varieties to the study of foliations. For the case of
foliations on surfaces, McQuillan, Brunella and Mendes have obtained a
detailed classification — analogous to the Enriques-Kodaira
classification. In this seminar, I will explain how, using the
birational classification of foliations on surfaces and MMP techniques,
we can start constructing moduli spaces for minimal foliations that
have maximum Kodaira dimension on surfaces. While there are many
similarities between the birational theory and the theory of foliations,
some new important phenomena appear in the latter.
In the seminar, I will try to explain what these new phenomena are and
what new difficulties they introduce into the identification of a good
functor of moduli for the aforementioned foliations, in comparison to
the case of KSBA moduli spaces.
The talk will feature joint work with C. Spicer, and joint work in
progress with M. McQuillan, C. Spicer, and S. Velazquez.
Please click here to make changes to, or delete, this seminar announcement.
Date posted
Jan 23, 2025
Date updated
Jan 23, 2025
Speakers
