Spectra of derived categories of Noetherian schemes
Speaker: Hiroki Matsui (Tokushima University)

Time: 15h15, Friday, May 06, 2022

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.

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Meeting ID: 896 0321 0669

Passcode: 340252

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