应数学与统计学院的邀请，俄罗斯Ural Federal University教授Mikhail Volkov将于近期访问我院，来访期间将为师生做以下学术报告：
题目：Algebraic properties of monoids of diagrams and 2-cobordisms
Partition of diagram monoids first appeared in 1937 in a paper by Brauer in which they served as vector space bases of certain associative algebras relevant in representation theory of classical groups. Other species of diagram monoids were invented by Temperley and Lieb in the context of statistical mechanics in the 1970s and by Kauffman and Jones in the context of knot theory in the 1980s. Since then diagram monoids have revealed many other connections, e.g., with low-dimensional topology, topological quantum field theory, quantum groups etc.Recently, they have been intensively studied as purely algebraic objects, and these studies have shown that diagram monoids are quite interesting from this viewpoint as well.
In the talk, we will introduce some algebraic properties of monoids of diagrams and 2-cobordisms.
Mikhail Volkov is Federal Professor of Mathematics and Chair of Algebra and Discrete Mathematics at Ural Federal University in Ekaterinburg, Russia. He has held visiting positions in various universities and research institutes in Australia, Austria, Czech Republic, Finland, France, Italy, India, Poland, Portugal, Germany, and the USA. He is a member of the editorial board of six prominent international research journals in mathematics, has served on the organizing committee of dozens of international conferences in mathematics and theoretical computer science, and has been chief academic advisor for around 20 doctoral students and a member of the supervisory committee for over 130 other doctoral students. His primary research interests are in associative rings, automata and formal languages, combinatorics on words, computational complexity, group representations, non-associative rings, semigroups, and universal algebra. He has published prolifically, with around 140 research papers, 11 survey articles and 13 books.