报告题目： Gröbner-Shirshov basis for associative algebras

报 告 人：Vsevolod Gubarev

所在单位：Sobolev Institute of Mathematics

报告时间：July 22-31, 2025, 10:30-12:00

报告地点：Zoom Id: 904 645 6677，Password: 2024

会议链接：

//zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456

报告摘要:  We will study the Gröbner-Shirshov bases theory for associative algebras with complete proofs and wide applications in (semi)group theory and ring theory. We will also consider computations of Gröbner-Shirshov bases in different computer algebra systems. The minicourse is organized as follows:

1. Free semigroup

2. Defining relations in semigroups and algebras

3. Gröbner-Shirshov basis

4. Rewriting system

5. Composition Lemma

6. Applications in (semi)groups

7. Applications in algebras

8. Computation in computer algebra systems

报告人简介：Vsevolod Gubarev is a senior researcher in Sobolev Institute of Mathematics and senior teacher in Novosibirsk State University (both in Novosibirsk, Russia). Area of interest: ring theory.