MSc Thesis: Presentation of Certain New Trends in Noncommutative Geometry
R\'eamonn \'O Buachalla
TL;DR
This MSc thesis introduces the operator algebraic approach to noncommutative geometry, exploring advanced topics like quantum groups, fuzzy physics, and quantum metric spaces to highlight recent developments in the field.
Contribution
It provides an overview of new trends in noncommutative geometry, focusing on operator algebras and their applications to quantum structures.
Findings
Introduction to operator algebraic methods in noncommutative geometry
Discussion of quantum groups and fuzzy physics applications
Analysis of compact quantum metric spaces
Abstract
MSc thesis of the author offering an introduction to the operator algebraic approach to noncommutative geometry, with a treatment of some more advanced elements such as the noncommutative geometry of quantum groups, fuzzy physics, and compact quantum metric spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Noncommutative and Quantum Gravity Theories · Algebraic structures and combinatorial models