报告题目：A Combinatorial Approach to Homology of Algebraic Systems
报 告 人：Viktor Lopatkin
所在单位：Higher School of Economics
报告时间：2024年4月6日 16:00-18:00
报告地点：ZOOM Id：904 645 6677，Password：2024
会议链接：
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=87511211646
报告摘要: It is well known there are many important algebras, groups, semigroups are presented via generators and relations. In other words, we get a set of generators and relations among them. It then arises a question is about relations among relations, relations among relations among relations and so on. It thus gives a “natural” way for appearing of resolutions. This is a homological algebra point of view to study such algebraic structures. In this talk we will get to know about a power and universal method how to construct such resolutions which are call Anick resolutions. This method is based on two big foundations; Groubner--Shirshov bases theory and algebraic discrete Morse theory. We consider how it works in some examples (symmetric group S3) and we also talk about comultiplication of Anick complexes which give arise to multiplication on cohomology.
报告人简介：Viktor Lopatkin is an associate professor at HSE University (=Higher School of Economics) in Moscow, Russia. He works at Anick resolutions and Groubner-Shirshov bases theory. He also takes an interest at knot theory, vertex algebra theory, Lie algebra theory.
