LMS Society Meeting: General Meeting & Aitken Lecture 2022 (in person)
(All timings are in BST)
3.30 pm Opening of the meeting and LMS Business (open to all)
3.45 pm First Lecture: Becky Armstrong (Muenster)
Abstract: Many abstract mathematical concepts have well-known applications to popular puzzles and games, with one famous example being the connection between Group Theory and Rubik's Cubes. The Fifteen Puzzle consists of a 4-by-4 grid of sliding tiles numbered 1 to 15, and is considered solved when these tiles are arranged consecutively. In this talk I will introduce a generalisation of groups, called "groupoids", which can be exploited to solve the Fifteen Puzzle. I will then explain the major role that groupoids play in my research area of Operator Algebras, and what advantages they provide over groups.
5.15 pm LMS Aitken Lecture 2022: Lisa Orloff Clark (Victoria University of Wellington)
Equivalence relations, topology and C*-algebras
Abstract: C*-algebras provide the mathematical underpinnings of quantum mechanics. They have a rich theory that has been developed over the last century. In 1943, Gelfand and Naimark showed that every C*-algebra is isomorphic to a subalgebra of operators on a Hilbert space. So, in the finite dimensional setting, the study of C*-algebras is essentially the study of matrices. Yet even with this powerful theorem, an abstract C*-algebra can be a complicated beast and understanding basic properties can be difficult. In this talk we describe how to build a C*-algebra from an equivalence relation so that one can see properties of the algebra by looking at properties of the equivalence relation. To get a robust class of C*-algebras in this way, we will consider equivalence relations on topological spaces. This talk will include several examples and assumes no C*-algebraic background.
6.15pm Close of meeting
6.30pm LMS Reception at De Morgan House
7.30pm Society Dinner at Trattoria Verdi, Southampton Row, London.
London, WC1H 9JP