Seminario di Analisi Complessa

Dipartimento di Matematica

Università di Roma Tor Vergata

Organizzatori: Filippo Bracci , Leandro Arosio

Prossimi seminari:

Benjamin McKay, Cork University. Chern-Simons forms and rolling surfaces on surfaces

Martedì 20 Maggio 2025 ore 16:00 aula D'Antoni

Abstract: Rolling a surface along another surface is described by an underdetermined ODE system. A nice open problem: if you have two surfaces, and you construct the associated ODEs, and I have two surfaces, and I construct the associated ODEs, when is your ODE system isomorphic to mine? There are examples where the surfaces are nowhere locally isometric. The local invariants of these ODE systems were studied by Cartan in 1910. He found a surprising relationship to a flag variety of G2.  We consider holomorphic ODE systems of the same type, and look for equations on the Chern classes and Chern-Simons classes of the complex manifolds they live on.