The main page content begins here.

Lagrangian multiforms on coadjoint orbits

  • Anup Anand Singh

Event description

First introduced in 2009, Lagrangian multiforms provide a variational framework for describing integrable hierarchies using a generalised variational principle applied to an appropriate generalisation of a classical action. In this talk, I will give an overview of this framework and report some recent results based on joint works with V. Caudrelier, M. Dell’Atti, and B. Vicedo. In particular, I will explain how one can use the theory of Lie dialgebras to systematically construct Lagrangian multiforms living on coadjoint orbits for a large class of finite-dimensional integrable systems. Lie dialgebras are related to Lie bialgebras but are more flexible in that they incorporate the case of non-skew-symmetric r-matrices. After discussing some structural results for our multiforms, I will use the examples of the rational and the cyclotomic Gaudin models to illustrate the scope of our construction.

Lagrangian multiforms on coadjoint orbits


Higgs Centre Seminar Room, JCMB (Find us on campus maps)
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road

Related events

This event is part of: