### 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.

*Organiser*: Scott Harper

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