Geometry of PDEs: an overview

Alexander Verbovetsky (IUM)

Sep 10. 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
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U of Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)