Silting objects characterise derived equivalences of connective dg-algebras. The more restricted class of two-term silting object is inextricably linked with cluster combinatorics. We review the definition and first properties of two-term silting objects in triangulated categories. One can use them to reconstruct τ-cluster morphism categories, introduced by Buan—Marsh (and Buan—Hanson). Certain paths in τ-cluster morphism categories are signed τ-exceptional sequences. Time permitting, we compare the properties of signed τ-exceptional sequences with those of exceptional sequences.

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