专家报告

题      目：Derived variety of algebras

报  告  人：Farukh Mashurov 博士 (邀请人：张泽锐)

                                      南方科技大学

时      间： 11月22日  17：00-17:30

地     点：数科院西楼111报告厅

报告人简介:

        Farukh Mashurov is a Postdoctoral Researcher at the Shenzhen International Center for Mathematics, Southern University of Science and Technology (SUSTech), supervised by Prof. Efim Zelmanov. He also holds a saved position as an Assistant Professor in Kazakhstan. His research focuses on nonassociative algebras, including n-Lie algebras, Novikov-type structures, Tortkara and bicommutative algebras, as well as polynomial identities and central extensions.

He has published several papers (17) on these topics in international journals. Farukh Mashurov completed his Bachelor’s degree at SDU University, his Master’s at Al-Farabi Kazakh National University, and his PhD at the Kazakh-British Technical University.

摘      要：

     For a non-associative algebra A with a derivation d, its derived algebra A(d) is the same space equipped with new operations a ≻ b = d(a)b, a ≺ b = ad(b), a, b ∈ A. Given a variety Var of algebras, its derived variety is generated by all derived algebras A(d) for all A in Var and for all derivations d of A. We will talk about a sufficient condition for every algebra from a derived variety to be embeddable into an appropriate differential algebra of the corresponding variety. 

This talk is based on joint work with P. Kolesnikov and B. Sartayev, "On Pre-Novikov Algebras and Derived Zinbiel Variety", SIGMA (2024).

        欢迎老师、同学们参加、交流！