BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jason Gaddis (Miami University\, Ohio) DTSTART:20211214T170000Z DTEND:20211214T180000Z DTSTAMP:20260423T021411Z UID:ONCAS/11 DESCRIPTION:Title: R eflexive hull discriminants and applications\nby Jason Gaddis (Miami U niversity\, Ohio) as part of ONCAS Online Noncommutative Algebra Seminar\n \n\nAbstract\nIn algebraic number theory\, the discriminant is an importan t invariant of a Galois field extension. There is a notion of the discrimi nant for noncommutative algebras that are finite modules over their center s. This has been used to solve several challenging problems\, such as to c lassify the automorphism groups of certain families of noncommutative alge bras. But the discriminant is notoriously difficult to compute in large ra nk. In this talk\, I will review some of the history behind the discrimina nt invariant and introduce a new notion\, the reflexive hull discriminant. This modification has a geometric interpretation and\, moreover\, is well -suited for algebras that are finitely generated but not necessarily free over their centers. As an application\, I will show how this invariant can be used to determine the automorphism groups for certain quantum generali zed Weyl algebras.\n LOCATION:https://researchseminars.org/talk/ONCAS/11/ END:VEVENT END:VCALENDAR