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:20210301T140000Z DTEND:20210301T144500Z DTSTAMP:20260421T120749Z UID:cats2021/2 DESCRIPTION:Title: minicourse: Silting and tilting theory I\nby Lidia Angeleri Hügel (U niversità degli Studi di Verona) as part of Additive categories between a lgebra and functional analysis\n\n\nAbstract\nThis mini-course provides an introduction to the notion of a silting object in a triangulated category 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 a djacent co-t-structure. We will also discuss the dual notion of a cosiltin g object and the role of purity in this context. We will then present a no tion of mutation for cosilting objects. Since our objects are not required to be compact\, mutation is not always possible: it is controlled by prop erties of certain torsion pairs in the heart of the associated t-structure . In the case of a two-term cosilting complex in the derived category of a finite dimensional algebra A\, we will explain how these constraints are reflected in the lattice torsA of all torsion pairs in the category modA f ormed by the finite dimensional A-modules.\n\n\n\nThe lectures will be bas ed on joint work with Michal Hrbek\, Rosanna Laking\, Frederik Marks\, Jan Šťovíček and Jorge Vitória.\n LOCATION:https://researchseminars.org/talk/cats2021/2/ END:VEVENT END:VCALENDAR