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学术科研

Algebra & Combinatorics Seminar

Calabi-Yau algebras and the shifted symplectic structure

演讲者：陈小俊（四川大学）
时间：2021-08-25 14:30-15:30
地点：腾讯会议 ID 490382903

Abstract

The notion of Calabi-Yau algebras was introduced by Ginzburg in 2007, and has been widely studied by mathematicians in recent years. In this talk, we study several geometric structures on Calabi-Yau algebras, and show that there is a noncommutative version of “shifted" symplectic structure on Calabi-Yau algebras, which induces a shifted symplectic structure on their moduli spaces of derived representations. If time permits we also discuss the derived noncommutative Poisson structure on Calabi-Yau algebras as well as its quantization. This talk is based on the works joint with Eshmatov.