BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eugenio Giannelli (Università di Firenze) DTSTART:20210204T160000Z DTEND:20210204T170000Z DTSTAMP:20260423T021330Z UID:GOThIC/13 DESCRIPTION:Title: Sylow Branching Coefficients and a Conjecture of Malle and Navarro\nby Eugenio Giannelli (Università di Firenze) as part of GOThIC - Ischia Onl ine Group Theory Conference\n\n\nAbstract\nLet $G$ be a finite group and l et $P$ be a Sylow subgroup of $G$.\n\nIn 2012 Malle and Navarro conjecture d that $P$ is normal in $G$ if and only if the permutation character assoc iated to the natural action of $G$ on the cosets of $P$ has some specific structural properties. In recent joint work with Law\, Long and Vallejo we prove this conjecture. \n\nWe will start this talk by describing the prob lem and its relevance in the context of representation theory of finite gr oups. \n\nThen we will introduce and review some recent results on Sylow B ranching Coefficients for symmetric groups.\n\nFinally we will talk about the crucial role played by these objects in our proof of the conjecture.\n LOCATION:https://researchseminars.org/talk/GOThIC/13/ END:VEVENT END:VCALENDAR