Ph.D. Course - Decembre 2021 - Mathematical methods of integrability

[Pietro De Poi]

we are pleased to announce a 'last-minute' Ph.D. course by prof. Paolo 
Rossi from University of Padova with the title:
'Mathematical methods of integrability'

Type: Basic course, 8 hours (a second course will follow in January)
Where: meeting room (2nd floor) of the Dipartimento di Scienze 
Informatiche e Fisiche, Università di Udine
When: December, Tuesday 7 and Tuesday 14

Title: Mathematical methods of integrability
Abstract: Classical mechanical analytics in its geometric formulation is the
starting point for the study of more modern physical theories, from 
relativity
to quantum mechanics, from solid state physics to field and string 
theory. In
each of these theories the concept of integrability, as a manifestation 
of the
richness of symmetries of a physical system, is central to the 
exploration of
the solutions of the considered models. The course aims to introduce the
geometric language necessary for the formulation of classical integrability
theorems in the Hamiltonian environment and some of the modern methods of
construction and study of integrable systems. Examples range from multi-body
systems on a lattice to evolutionary PDEs.

Review of differential geometry
Symplectic and Poisson structures
Arnold-Liouville integration
Lax representations


If interested, please fill the form linked here: 
https://forms.office.com/r/vijDCaJgTx 
<https://forms.office.com/r/vijDCaJgTx>

More details will be provided to the registered participants.

Please, let me know as soon as possible if the dates might be 
problematic. In case we will try to reschedule.

Feel free to spread the news.

Bers regards,
Stefano










  * Stefano Urbinati

    Telefono: +39 0432 558437
    Stanza: SS6
    Dipartimento di Scienze Matematiche, Informatiche e Fisiche
    Università degli Studi di Udine