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:20210302T140000Z DTEND:20210302T144500Z DTSTAMP:20260421T120855Z UID:cats2021/5 DESCRIPTION:Title: minicourse: Silting and tilting theory II\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 a n introduction to the notion of a silting object in a triangulated categor y with coproducts\, introduced independently by Psaroudakis and Vitória\, and by Nicolás\, Saorín and Zvonareva. We will see that silting objects 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 cosilti ng object and the role of purity in this context. We will then present a n otion of mutation for cosilting objects. Since our objects are not require d to be compact\, mutation is not always possible: it is controlled by pro per-ties of certain torsion pairs in the heart of the associated t-structu re. In the case of a two-term cosilting complex in the derived category of a finite dimensional algebra A\, we will explain how these con-straints a re reflected in the lattice torsA of all torsion pairs in the category mod A formed by the finite dimensional A-modules.\n\n\n\nThe lectures will be based on joint work with Rosanna Laking\, Frederik Marks\, Jan Šťoví ček and Jorge Vitória.\n LOCATION:https://researchseminars.org/talk/cats2021/5/ END:VEVENT END:VCALENDAR