BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nuno Cardoso (University of Miami) DTSTART:20200625T200000Z DTEND:20200625T210000Z DTSTAMP:20260423T052710Z UID:SGFM/6 DESCRIPTION:Title: Tow ards a new technique to compute the Orlov spectrum\nby Nuno Cardoso (U niversity of Miami) as part of Seminario de Geometría y Física - Matemá tica UCN-USP\n\n\nAbstract\nA generator of a triangulated category is an o bject from which we can obtain the whole category through certain operatio ns. Associated to a generator\, there is the notion of the generation time \, which is the number describing how long the rebuilding process takes. T he generation time of the fastest generator is called the Rouquier dimensi on of the category and it is conjectured that the Rouquier dimension of th e derived category of a smooth projective variety of dimension $n$ is exac tly $n$. Orlov suggested that in order to extract additional geometric inf ormation from the category\, one should study all possible generation time s – the Orlov spectrum. Later\, Ballard\, Favero\, and Katzarkov develop ed considerably our understanding of the topic\, making connections to rat ionality\, computing the Orlov spectrum in several cases and finding bound s for it. In this talk\, we will review part of their results and discuss our work in progress on a new technique to compute the Orlov spectrum\, wh ich takes inspiration on Abouzaid's criterion for generating the Fukaya ca tegory in terms of open-closed maps.\n LOCATION:https://researchseminars.org/talk/SGFM/6/ END:VEVENT END:VCALENDAR