جبرهای راسی و هندسه: جلسه ویژه AMS درباره جبرهای راسی و هندسه، ۸ - ۹ اکتبر ۲۰۱۶، دنور، کلرادو، کنفرانس کوچک درباره جبرهای راسی، ۱۰ - ۱۱ اکتبر ۲۰۱۶، دنور، کلرادو

This book contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry, held from October 8-9, 2016, and the mini-conference on Vertex Algebras, held from October 10-11, 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor categories. Read more... Cover Title page Contents Introduction Strongly homotopy chiral algebroids 1. Introduction 2. TDO 3. Picard-Lie ∞-algebroids 4. Beilinson-Drinfeld 5. CDO 6. Chiral ∞-algebroids References Associated varieties and Higgs branches (a survey) 1. Associated varieties of vertex algebras 2. Lisse and quasi-lisse vertex algebras 3. Irreducibility conjecture and examples of quasi-lisse vertex algebras 4. BL2PR2 correspondence and Higgs branch conjecture Acknowledgments References Vertex rings and their Pierce bundles 1. Introduction 2. Basic properties of vertex rings 3. Derivations4. Characterizations of vertex rings 5. Categories of vertex rings 6. The center of a vertex ring 7. Virasoro vertex -algebras 8. Étale bundles of vertex rings 9. Pierce bundles of vertex rings 10. Von Neumann regular vertex rings 11. Equivalence of some categories of vertex rings 12. Appendices References Cosets of the ^{ }( 4, _{ })-algebra 1. Introduction 2. Vertex algebras 3. The algebra \cW^{ }( 4, _{ }) 4. The (1)-orbifold of \cW^{ }( 4, _{ })^{ (1)} 5. The Heisenberg coset of \cW^{ }( 4, _{ })6. Simple current extensions and \cW_{l}( _{ }, _{ }) References A sufficient condition for convergence and extension property for strongly graded vertex algebras 1. Introduction 2. Strongly graded vertex algebras and their modules 3. 1-cofiniteness condition 4. Logarithmic intertwining operators 5. Differential equations 6. The regularity of the singular points 7. Braided tensor category structure References On infinite order simple current extensions of vertex operator algebras 1. Introduction 2. Background 3. Sum completion of a category \CCC4. Constructing lattice VOAs Acknowledgments References Back Cover Contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry and the mini-conference on Vertex Algebras, held in October 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categories.