Emmanuel Mazzilli
LPP, Université de Lille, Villeneuve d'Ascq
https://scholar.google.fr/citations?user=2-ghptYAAAAJ&hl=fr
Date(s) : 20/05/2019 iCal
11 h 15 min - 12 h 15 min
Complex associated with a differential operator
A year ago during a talk here, I explained how, using E. Cartan’s theory of external differential systems, we could find the complex associated with the Cauchy-Fueter operator. Unlike the De Rham or Dolbeault complexes, the minimal resolution of this operator of order 1 è constant coefficients contains operators of order 2. In this talk, I will show that the involution condition for an over-determined operator in the sense of E.Cartan is a sufficient condition for its minimal resolution to contain only operators of order 1; this is particularly the case for the “d” and “d-bar” operators but not for the Fueter operator. Finally, I will discuss around a proof of “the involution of arrays associated with an operator” in the sense of Cartan. It is about joint work with P. Bonneau.
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