Subfactors Planar Algebras And Rotations
Download Subfactors Planar Algebras And Rotations full books in PDF, epub, and Kindle. Read online free Subfactors Planar Algebras And Rotations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
The Classification of Subfactors with Index at Most $5 frac {1}{4}$
| Author | : Narjess Afzaly |
| Publisher | : American Mathematical Society |
| Total Pages | : 94 |
| Release | : 2023-04-07 |
| Genre | : Mathematics |
| ISBN | : 1470447126 |
View the abstract.
Quanta of Maths
| Author | : Institut des hautes études scientifiques (Paris, France) |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 695 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821852035 |
The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as follows: entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces; von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras; Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory; cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem; noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras; Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities; cyclotomy and analytic geometry over $F_1$, quantum modular forms; differential K-theory, cyclic theory and S-cohomology.
Topological Phases of Matter and Quantum Computation
| Author | : Paul Bruillard |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 242 |
| Release | : 2020-03-31 |
| Genre | : Education |
| ISBN | : 1470440741 |
This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24–25, 2016, at Bowdoin College, Brunswick, Maine. Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub-disciplines in these fields. The academic importance of this field has been recognized in physics through the 2016 Nobel Prize. In mathematics, some of the 1990 Fields Medals were awarded for developments in topics that nowadays are fundamental tools for the study of topological quantum computation. Moreover, the practical importance of this discipline has been underscored by recent industry investments. The relative youth of this field combined with a high degree of interest in it makes now an excellent time to get involved. Furthermore, the cross-disciplinary nature of topological quantum computing provides an unprecedented number of opportunities for cross-pollination of mathematics, physics, and computer science. This can be seen in the variety of works contained in this volume. With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.
Introduction to Subfactors
| Author | : Vaughan F. R. Jones |
| Publisher | : Cambridge University Press |
| Total Pages | : 178 |
| Release | : 1997-05-15 |
| Genre | : Mathematics |
| ISBN | : 0521584205 |
Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
