Series of Academic Activities of School and Institute of Mathematics in 2020（the 203th）：
Associate Professor Liu Jiefeng Northeast Normal University
Report title: Crossed Module for Pre-Lie–Rinehart Algebras
Reporter: Associate Professor Liu Jiefeng Northeast Normal University
Reporting time: 8.30-9:30, September 11, 2020
Report location: Tencent meeting
Conference ID: 655559871
School contact: Tang Rong tangrong@jlu.edu.cn
Report summary：
We introduce the notion of crossed module for pre-Lie–Rinehart algebras and prove that they are classified by the third cohomology of pre-Lie–Rinehart algebras. We also introduce the notion of pre-Lie-Rinehart 2-algebras and show that there is a one-to-one correspondence between strict pre-Lie-Rinehart 2-algebras and crossed modules for pre-Lie Rinehart algebras.
Brief introduction of the speaker:
Liu Jiefeng, associate professor of Northeast Normal University. In 2016, he obtained his Ph.D degree from Jilin University, engaged in Poisson geometry and mathematical physics research, and published many high-level papers in J. Symplectic Geom., J. Noncommut. Geom., J. Algebra and other journals.
