Chennai Mathematical Institute


Topic: CMI Mathematics Seminar
Date: Thursday, February 25, 2021.
Time: 3:30 PM.
(Not) Irreducible Symplectic Varieties in Characteristic 2

Tanya Kaushal
Chennai Mathematical Institute.


In this talk I will construct an example in characteristic two of a class of varieties with trivial canonical class but which are neither Calabi-Yau, nor irreducible symplectic nor Abelian varieties, thereby showing that Beauville-Bogomolov decomposition theorem over the complex numbers does not extend as such over to fields of positive characteristic. I will also discuss along the way a few more results about varieties over the complex numbers which fail in positive characteristic.