SEMINARIO DI GEOMETRIA ALGEBRICA

Nell'ambito del seminario congiunto di geometria algebrica
organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

lunedì 6 Febbraio alle 14:30 (durata 1 ora)

in Aula Rappresentanza del Dipartimento di Matematica "F. Enriques", si terrà il seguente seminario:

Iacopo Brivio
(National Center for Theoretical Sciences)

Invariance of plurigenera and KSBA moduli in positive and mixed characteristic

Abstract: A famous theorem by Siu states that plurigenera are invariant under smooth deformations for complex projective manifolds, a result which is a cornerstone of higher dimensional moduli theory. In this talk we will explore some examples showing that Siu's theorem fails in positive and mixed characteristic, then discuss the implications at the level of moduli theory, as well as some related questions.