AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS

An Invitation to Model Theory and C*-algebras

This survey is designed as an introduction to the study of C*-algebras from the perspective of model theory for metric structures. The intended readership consists of anyone interested in learning about this subject, and naturally includes both logicians and operator algebraists. Considering this, we will not assume in these notes any previous knowledge of model theory, nor any in-depth knowled...

An Invitation to String Theory

These lectures are supposed to give a point of entry into that vast web of related ideas that go under the name “string theory”. I start with a more or less qualitative introduction to gravity as a field theory and sketch how one might try to quantize it. Quantizing gravity using the usual techniques of field theory will turn out to be unsuccessful, and that will be a motivation for trying an i...

An Invitation to C-Semigroups

Semigroups with an additional unary operation called a (right) closure are investigated. These “closure semigroups” may be viewed as (not necessarily regular) generalisations of inverse semigroups, and several powerful structural aspects of inverse semigroup theory are shown to extend naturally to some important classes of closure semigroups. These include representations as partial transformat...

Nicolaescu An Invitation to Morse Theory – Monograph

Invitation to Lie Algebras and Representations

In this paper, we outline the rudiments of the representation theory of semisimple Lie algebras. We build the necessary theory in order to analyze the representations of sl2, which includes proving that representations of semisimple Lie algebras are completely reducible and preserve the Jordan decomposition. We only assume the reader has a working knowledge of linear algebra and a little famili...