Noncommutative Shifted Symplectic Structure and Calabi-Yau Algebras
报告人：Xiaojun Chen (Sichuan University)
时间：2019-01-03 14:00 - 2019-01-03 16:00
地点：Room 9, Quan Zhai, BICMR
The notion of Calabi-Yau algebras was introduced by Ginzburg in 2007 and has widely been studied since then. In this talk, we show that for a Koszul Calabi-Yau algebra, there is a shifted noncommutative symplectic structure on the associated derived non-commutative affine scheme (will be more precise), and hence its derived representation schemes have a shifted symplectic structure in the sense of Pantev et. al. The talk is based on a joint work with F. Eshmatov.