Seminar talk, 9 December 2026

From Geometry of Differential Equations
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Speaker: Boris Kruglikov

Title: Exceptional Lie superalgebras as symmetries of differential superequations

Abstract:
Every simple Lie algebra can be realized as complete symmetry of a differential equation. For G2 this goes back to E.Cartan and F.Engel papers of 1893. For others this was done in a uniform way by D.The and independently by D.V.Alekseevsky, J.Gutt, G.Manno, G.Moreno in 2016. A generalization to superalgebras was done first for G3 in 2019. I will present geometric realizations of exceptional Lie superalgebras as super-symmetry. Based on joint works with A.Santi, D.The, A.Llabres, A.Escofet.