Noncommutative elliptic Poisson structures on projective spaces
Speaker:
Alexandre Odesski, Brock University
Date and Time:
Tuesday, March 22, 2022 - 2:00pm to 2:25pm
Location:
Fields Institute, Room 230
Abstract:
We review noncommutative Poisson structures on affine and projective spaces over C. We also construct a class of examples of noncommutative Poisson structures on CPn−1 for n>2. These noncommutative Poisson structures depend on a modular parameter τ∈C and an additional descrete parameter k∈Z, where 1≤k<n and k,n are coprime. The abelianization of these Poisson structures can be lifted to the quadratic elliptic Poisson algebras qn,k(τ). This is a joint work with Vladimir Sokolov (Landau Institute for theoretical physics, Moscow, Russia).