2022/05/06 GMT 8:15-9:15
Speaker: Hiroki Matsui (Tokushima University)
Title: Spectra of derived categories of Noetherian schemes
Abstract: The spectrum of a tensor triangulated category (i.e., a triangulated category with a tensor structure) has been introduced and studied by Balmer in 2005.
Balmer applied it to the perfect derived category with the derived tensor products for a Noetherian scheme and proved that the tensor triangulated category structure of the perfect derived category completely determines the original scheme.
In this talk, I will introduce the notion of the spectrum of a triangulated category without tensor structure and develop a “tensor-free” analog of Balmer’s theory.
Also, I will apply this to derived categories of Noetherian schemes.