Geometry of PDEs: an overview

Joseph Krasil’shchik (IUM)

Sep 09. 2021, 14:00 — 15:00

The main topics:

Jet bundles. Infinite jets. Geometrical structures.
Differential equations. Infinite prolongations. Geometrical structures.
Linearisations. Symmetries.
Conservation laws. Adjoint operators. Cosymmetries.
The Vinogradov spectral sequence.
Nonlocal geometry of PDEs. Differential coverings.
Integrable structures: Hamiltonian, symplectic, and recursion operators.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Organizer(s):
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)