Nikita Markarian: Feigin-Odesskii Poisson structures

Tuesday Dec 2, 2025, 10:30 AM → 11:30 AM Europe/Paris

Salle René Baire (IMB)

In the 90s, Feigin and Odesskii introduced elliptic algebras, which are deformations of polynomial algebras associated with an elliptic curve, with its shift serving as a deformation parameter, generalizing Sklyanin algebras. The same authors started studying the corresponding homogeneous Poisson structure. 

I will give the definition and basic properties of the Feigin-Odesskii Poisson structure, and also some simple examples. I will briefly discuss my joint work with A. Polishchuk about compatible FO Poisson structures.