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.