Lidia Angeleri Hügel

University of Verona

Parametrizing t-structures over hereditary rings

Algebra Seminar

3rd February 2021, 2:30 pm – 3:30 pm
Online, Zoom

The compactly generated t-structures in the unbounded derived category
of a commutative noetherian ring have been classified by Alonso,
Jeremías and Saorín in 2010. They are parametrized by certain chains
of subsets of the Zariski spectrum. Inspired by this result, we will
consider an arbitrary ring A and discuss a construction of
t-structures from chains in the lattice of ring epimorphisms starting
in A. We will also present constructions of silting and cosilting
complexes in D(Mod-A). This will lead us to some classification
results over finite dimensional hereditary algebras. The talk will be
based on joint work with Michal Hrbek.

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