BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ivo Dell'Ambrogio (Université de Lille\, France) DTSTART:20201130T150000Z DTEND:20201130T160000Z DTSTAMP:20260422T175222Z UID:QGS/4 DESCRIPTION:Title: The spectrum of equivariant Kasparov theory for cyclic groups of prime order\nby Ivo Dell'Ambrogio (Université de Lille\, France) as part of Quantu m Groups Seminar [QGS]\n\n\nAbstract\nIn 2006\, Ralf Meyer and Ryszard Nes t proved that the G-equivariant Kasparov category of a locally compact gro up G carries the structure of a tensor-triangulated category. This structu re conveniently handles the usual homological algebra\, bootstrap construc tions and assembly maps involved in many KK-theoretical calculations\, e.g . in connection with the Baum-Connes conjecture. As with any tensor trian gulated category\, we can also associate to the G-equivariant Kasparov cat egory its spectrum in the sense of Paul Balmer. This is a topological spac e (similar to the Zariski spectrum of a commutative ring) which allows us\ , as it were\, to re-inject some genuinely geometric ideas in non-commutat ive geometry. It turns out that the spectrum contains enough information t o prove the Baum-Connes conjecture for G\, hence we should expect the ques tion of its computation to be very hard. In this talk\, after discussing such preliminaries and motivation\, I will present joint work with Ralf Me yer providing the state of the art on this subject. Although more general partial results are known\, a complete answer is only known so far for fin ite groups of prime order and for algebras in the bootstrap category.\n LOCATION:https://researchseminars.org/talk/QGS/4/ END:VEVENT END:VCALENDAR