Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

We define Lie algebroids over infinite jet spaces. The examples of such construction is given by Hamiltonian operators and Lie algebra-valued zero-curvature representations for partial differential equations. The talk is based on the following papers (1) Kiselev A. V., van de Leur J. W., Variational Lie algebroids and homological evolutionary vector fields, Theor. Math. Phys. 167 (2011) n.3 Nonlinear Physics: Theory & Experiment VI. — P. 772–784. arXiv:1006.4227 [math.DG] (2) Kiselev A. V., Krutov A. O., Non-Abelian Lie algebroids over jet spaces, J. Nonlin.Math. Phys. 21 (2014) n.2. — P. 188–213. arXiv:1305.4598 [math.DG]