Speaker: E.V. Ferapontov (Loughborough University)
Date and time: 02.02.2022, 17:00 (GMT +03:00)
Title: Second-order integrable Lagrangians and WDVV equations
Abstract: I will discuss integrability of Euler-Lagrange equations associated with 2D and 3D second-order Lagrangians. By deriving integrability conditions for the Lagrangian density, examples of integrable Lagrangians expressible via elementary functions, elliptic functions and modular forms are constructed. Explicit link of second-order integrable Lagrangians to the WDVV equations is also established.
Based on joint work with Maxim Pavlov and Lingling Xue: Second-order integrable Lagrangians and WDVV equations, Lett. Math. Phys. (2021) 111:58; arXiv:2007.03768.
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