Noncommutative Elliptic Poisson Structures on Projective Spaces

Explore noncommutative Poisson structures on affine and projective spaces over complex numbers in this one-hour lecture. Delve into Maxim Kontsevich's ideas from "Formal non-commutative symplectic geometry" and examine a class of examples of noncommutative Poisson structures on complex projective spaces for dimensions greater than two. Learn about these structures' dependence on a modular parameter and an additional discrete parameter, and discover how their abelianization can be lifted to quadratic elliptic Poisson algebras. Based on joint work with Vladimir Sokolov, this talk by Alexander Odesskii from Brock University offers insights into advanced mathematical concepts at the intersection of algebra, geometry, and mathematical physics.