Inverse Semigroups and Their Applications
Peter Hines
Abstract: This talk is intended as an introduction to inverse semigroup theory, strongly motivated by its applications in other fields. No a priori knowledge of inverse semigroup theory is assumed.
Starting from the basic definitions, we show how interesting and deep examples of inverse semigroups and related structures appear in other branches of mathematics, and in computer science -- both theoretical and practical.
From computer science, we give examples ranging from race conditions in computer security to Scott domains and Ladner's theorem. In pure mathematics, we observe connections with structures such as Cantor Space, (standard) Young tableaux, Ballot sequences, and Hilbert's hotel.
(The two different classes of applications are of course closely connected).
The ultimate aim is to provide some motivation for the study of (inverse) semigroup theory, both in terms of its mathematical interest, and its practical applications.
category theorygroup theoryrings and algebras
Audience: researchers in the topic
Series comments: Description: Semigroup-related research talks at University of York.
Email Nora Szakacs at nora.szakacs@york.ac.uk for the meeting password.
| Organizer: | Nora Szakacs* |
| *contact for this listing |