Report Title：Deformations of log-canonical Poisson brackets
Reporter：Mykola Matviichuk
Affiliation: The Chinese University of Hong Kong
Report Time:9:00-11:00， May 18, May 20, May 22, May 26, May 27, May 29, 2026
Report Location:Multi-function Hall 2, 3rd Floor, Wu Zhuoqun Building
Abstract:
A Poisson bracket on a space X is a Lie algebra structure on the space of functions on X that behaves like a derivative in both its arguments. I will discuss the deformation theory of Poisson brackets, which is controlled by the so-called Poisson cohomology. The deformations log-canonical Poisson brackets will be discussed in a great detail. Applications to Lie theory will be presented. The mini-course is based on joint works with Brent Pym, Travis Schedler and Jiang-Hua Lu.
Bio:
Mykola Matviichuk is an assistant professor at the Department of Mathematics in the Chinese University of Hong Kong. He is interested in the study of symplectic geometry, algebraic geometry, deformation theory and Poisson geometry. He has published papers in Geom. Topol., Selecta Math., J. Algebraic Geom., Int. Math. Res. Not. IMRN and other journals.
