报告题目：Conservative algebras

报 告 人：Ivan Kaygorodov

所在单位：University of Beira Interior

报告时间：2022年11月04日  15:30-16:30

报告地点：ZOOM ID：862 062 0549，Code：2022

会议链接：https://us02web.zoom.us/j/8620620549?pwd=bGhsaG15WjRza2V3ZEN4TzJYZ1FZQT09

报告摘要：The class of conservative algebras was introduced in 1972 by I. Kantor. Roughly speaking, it is a class of algebras satisfying a "quasiidentity'' of degree 4. The class of conservative algebras includes many important varieties of algebras, such as associative algebras, Lie algebras, Leibniz algebras, Zinbiel algebras, Jordan algebras, etc. Conservative algebras and superalgebras have some similar properties to many well-known varieties of algebras. For example, they admit the Tits-Koecher-Kantor construction (TKK construction); each conservative algebra (and superalgebra) could be embedded in a suitable universal conservative algebra (or superalgebra). We will talk about some old and new results from this topic.

报告人简介：Ivan Kaygorodov got his Ph.D. in 2010 at the Sobolev Institute of Mathematics (Russia). He has worked as a postdoctoral researcher at the University of Sao Paulo (Brazil) and as an assistant professor at the Federal University of ABC (Brazil) for 10 years. Now he is a research fellow at the University of Beira Interior (Covilhã, Portugal). He is the Editor-in-Chief of Communications in Mathematics. His main area of research interest is in non-associative algebras.