BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Letterio Gatto (Polytechnic University of Turin\, Italy) DTSTART:20210318T120000Z DTEND:20210318T130000Z DTSTAMP:20260423T024756Z UID:LAGOON/34 DESCRIPTION:Title: HiDEAs to work with\nby Letterio Gatto (Polytechnic University of Turi n\, Italy) as part of Longitudinal Algebra and Geometry Open ONline Semina r (LAGOON)\n\n\nAbstract\nHiDEA is the acronym of Higher Derivations on Ex terior Algebra\, a project I am currently working on together with many c ollaborators\, such as O. Behzad & A. Nasrollah Nejad (Iran)\, L. Rowen & I. Scherbak (Israel)\, A. Contiero\, P. Salehyan & R. Vidal Martins (Brasi l)\, S. Amukugu\, M. Mugochi & G. Marelli (Namibia). Originally introduced by Hasse & Schmidt (1937) to extend Taylor expansions of analytic functi ons and Wronskians in in the realm of positive characteristic commutative algebra\, the notion of Higher Order derivations (Hasse-Schmidt derivatio n in the sequel) provides an extremely rich theory when applied to the sup er--commutative situation supplied by exterior algebras of free modules. T he purpose of this talk is to advertise HiDEAs practise\, focusing on its main tool\, the so-called integration by parts formula. The latter shows how the theory is concerned with multilinear algebra (via an extension of the Cayley-Hamilton theorem for possible infinite dimensional vector space s)\, with intersection theory of Grassmannians (Schubert Calculus via Pier i's & Giambelli's formula)\, with Representation Theory and Mathematical P hysics\, given the spontaneously arising of the vertex operators occurring in the boson-fermion correspondence from the so-called Schubert Derivati ons. The talk aims to be general\, non specialistic and self--contained\, requiring no more than basics in multilinear algebra (exterior algebras)\ , elementary calculus (Taylor expansions) and a little routine combinator ics (formal power series\, partitions\, symmetric functions).\n\nhttps://u s02web.zoom.us/j/87160036709\nMeeting ID: 871 6003 6709\nPasscode: LAGOON\ n LOCATION:https://researchseminars.org/talk/LAGOON/34/ END:VEVENT END:VCALENDAR