BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ginevra Giordani (University of L'Aquila\, Italy) DTSTART:20251110T150000Z DTEND:20251110T160000Z DTSTAMP:20260423T035614Z UID:ENAAS/148 DESCRIPTION:Title: Central exponent in PI-theory\nby Ginevra Giordani (University of L'Aq uila\, Italy) as part of European Non-Associative Algebra Seminar\n\n\nAbs tract\nThe algebras that satisfy at least a non-trivial polynomial identit y are called PI-algebras. They can be seen as a generalization of the com mutative world and PI-theory is the research field in modern algebra study ing the identities satisfied by these algebras. In its general case this i s a very difficult problem\, so that a combinatoric approach is generally used. \n\nWe will briefly introduce polynomial identities and PI-algebras\ , giving also some motivations\, and we will present the main results in P I-theory.\n\nThen\, we will introduce central polynomials\, explaining why they are important for the research on polynomial indentities.\nTheir beh avior can be also studied by analyzing the behavior of the dimension $c_n^ z(A)$ of the space of multilinear polynomials of degree $n$ modulo the cen tral polynomials of an associative PI-algebra $A$. In 2018\, Giambruno and Zaicev established\, for associative algebras\, the existence of the limi t\n$$\n\\lim_{n \\to \\infty} \\sqrt[n]{c_n^z(A)}.\n$$\nIn this talk we pr esent research advances on this problem\, with special focus on associativ e superalgebras with superinvolution.\n\nThis talk is based on a joint wor k with Antonio Ioppolo\, Antônio Augusto dos\nSantos and Ana Cristina Vie ira.\n LOCATION:https://researchseminars.org/talk/ENAAS/148/ END:VEVENT END:VCALENDAR