BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lidia Angeleri Hügel (Università degli Studi di Verona) DTSTART:20210303T140000Z DTEND:20210303T144500Z DTSTAMP:20260423T095032Z UID:cats2021/8 DESCRIPTION:Title: minicourse: Silting and tilting theory III\nby Lidia Angeleri Hügel (Università degli Studi di Verona) as part of Additive categories between algebra and functional analysis\n\n\nAbstract\nThis mini-course provides an introduction to the notion of a silting object in a triangulated catego ry with coproducts\, introduced independently by Psaroudakis and Vitória\ , and by Nicolás\, Saorín and Zvonareva. We will see that silting object s correspond bijectively to certain triples formed by a t-structure and an adjacent co-t-structure. We will also discuss the dual notion of a cosilt ing object and the role of purity in this context. We will then present a notion of mutation for cosilting objects. Since our objects are not requir ed to be compact\, mutation is not always possible: it is controlled by pr oper-ties of certain torsion pairs in the heart of the associated t-struct ure. In the case of a two-term cosilting complex in the derived category o f a finite dimensional algebra A\, we will explain how these con-straints are reflected in the lattice torsA of all torsion pairs in the category mo dA formed by the finite dimensional A-modules.\n\n\n\nThe lectures will be based on joint work with Rosanna Laking\, Frederik Marks\, Jan Šťovi ́ček and Jorge Vitória.\n LOCATION:https://researchseminars.org/talk/cats2021/8/ END:VEVENT END:VCALENDAR