Upcoming Events — Easter 2019
Unless otherwise stated, the talks are held at 7pm in MR2 at the Centre for Mathematical Sciences (the CMS), Wilberforce Road.
26th April 2019 — Dr Paul Russell (University of Cambridge)
3rd May 2019 — Prof. Victoria Gould (University of York)
The joy of associativity
From our very first encounters with arithmetic, almost any operation we come across in mathematics is associative. Semigroup Theory provides the framework to study associativity, and reaches into many different areas of mathematics - classical algebra, formal languages, C∗-algebras, tropical algebra, decision problems and model theory, to name a few. I will introduce the audience to the topic of algebraic semigroup theory, some of its applications, and then the beautiful theory of biordered sets and their so-called free idempotent generated semigroups (FIGs). Groups are special semigroups (!) and each group possesses but one idempotent. A mystery still revealing itself is the tight correspondence between groups, biordered sets and FIGs. This talk will not assume any specialist knowledge.