陈建功大讲堂——代数讲坛(2022-10)
报告题目:Cohomology and deformation quantization of Poisson conformal algebras
报告人:刘杰锋
报告时间:9月22日 9:00-10:00
报告地点:腾讯会议:446 544 147
报告摘要: In this talk, we first recall the notion of (noncommutative) Poisson conformal algebras and give some constructions. Then we study the relations between formal distribution (noncommutative) Poisson algebras, coefficient (noncommutative) Poisson algebras and (noncommutative) Poisson conformal algebras. Next, we introduce the notion of conformal formal deformation of commutative associative conformal algebras and show that Poisson conformal algebras are the corresponding semi-classical limits. At last, we introduce the cohomology of (noncommutative) Poisson conformal algebras and use this cohomology to study their deformations.
报告人简介:刘杰锋,东北师范大学数学与统计学院副教授。2016年博士毕业于吉林大学数学学院。从事Poisson几何与数学物理的研究,在J. Symplectic Geom., J. Noncommut. Geom., J. Algebra等SCI杂志上发表20余篇论文。