Axial algebras of Jordan type

• 主讲人：Ilya Gorshkov (Sobolev Institute of Mathematics)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2023-12-07 20:00 - 2023-12-07 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/DB945BAE16350718DCAF1DB28506BA3C
Valid Until: 2024-01-06 23:59

 

 

Abstract: Axial algebras are a class of non-associative commutative algebras whose properties are defined in terms of the fusion law. When this fusion law is graded, the algebra has a naturally associated automorphism group, and thus axial algebras are related to group theory. Examples of axial algebras include most Jordan algebras and the Grice algebra. In this talk, we introduce the notion of axial algebra and concentrate on axial algebras of Jordan type.

 

Bio: Professor Ilya Gorshkov is a world-renowned specialist in the field of the theory of finite groups and non-associative algebra. In 2019, he completed the proof of the validity of the famous Thompson conjecture about the set of sizes of conjugacy classes in finite groups. He obtained his PhD degree in 2013 and his Doctor of Science degree in 2020, both from the Sobolev Institute of Mathematics. From 2014 to 2016, he held a postdoctoral position at the University of São Paulo. He currently works at the Sobolev Institute of Mathematics.