Last edited by Tygoran
Wednesday, July 22, 2020 | History

6 edition of Vertex algebras and algebraic curves found in the catalog.

Vertex algebras and algebraic curves

by Edward Frenkel

  • 28 Want to read
  • 23 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Vertex operator algebras,
  • Curves, Algebraic

  • Edition Notes

    Includes bibliographical references (p. 383-391) and index.

    StatementEdward Frenkel, David Ben-Zvi.
    SeriesMathematical surveys and monographs,, v. 88, Mathematical surveys and monographs ;, no. 88.
    ContributionsBen-Zvi, David, 1974-
    Classifications
    LC ClassificationsQA326 .F76 2004
    The Physical Object
    Paginationxiii, 400 p. ;
    Number of Pages400
    ID Numbers
    Open LibraryOL3306889M
    ISBN 100821836749
    LC Control Number2004051904
    OCLC/WorldCa55510252

    Vertex algebras precisely model the structure of "holomorphic one-dimensional algebra" -- in other words, the algebraic structure that you get if you try to formalize the idea of operators (elements of your algebra) living at points of a Riemann surface, and get multiplied when you collide. conformal vertex algebra in modern texts. We recommend E. Frenkel and Ben-Zvi, Vertex Algebras and Algebraic Curves, available on-line through the library. See also Kac, Vertex Algebras for Beginners and Chapter 10 of Schottenloher.

    Vertex algebras and algebraic curves Frenkel, Edward Séminaire Bourbaki: volume /, exposés , Astérisque no. (), Exposé no. , p. For example, Frenkel and Ben-Zvi's book "Vertex algebras and algebraic curves" has a treatment of modules in chapter 5 that goes into some detail for the Heisenberg case. One thing they don't mention is that there are non-trivial self-extensions of irreducible modules, given by a .

    Chiral algebra references: The biblical reference is Beilinson & Drinfeld's book Chiral Algebras. A prepublication version available from the geometric Langlands page. Gaitsgory's Notes on 2D Conformal Field Theory and String Theory is about chiral algebras. For a treatment of chiral differential operators, see Arkhipov & Gaitsgory's Differential operators and the loop group via chiral algebras. For vertex algebras, there is a good book by Frenkel and Ben-Zvi called Vertex Algebras and Algebraic Curves, also available on-line through the Stanford Libraries. Lecture Notes Lecture 1: Review of Quantum Mechanics.


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Vertex algebras and algebraic curves by Edward Frenkel Download PDF EPUB FB2

This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship between vertex algebras and the geometry of moduli spaces of algebraic curves.

The authors make the first steps toward reformulating the theory of vertex algebras in a way that is suitable for algebraic-geometric applications. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship between vertex algebras and the geometry of algebraic curves.

The authors make the first steps toward reformulating the theory of vertex algebras in a way that is suitable for algebraic. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves.

The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional Cited by: This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves.

The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves.

The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional Reviews: 1.

Vertex algebras and algebraic curves | Frenkel E., Ben-Zwi D. | download | B–OK. Download books for free. Find books. Vertex Algebras and Algebraic Curves: Second Edition Edward Frenkel and David Ben-Zvi Publication Year: ISBN ISBN Mathematical Surveys and Monographs, vol.

This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional Author: Edward Frenkel and David Ben-Zvi.

Vertex Algebras and Algebraic Curves, Second edition About this Title. Edward Frenkel, University of California, Berkeley, CA and David Ben-Zvi, University of Chicago, Chicago, IL. Publication: Mathematical Surveys and Monographs Publication Year Volume 88 ISBNs: (print); (online).

Vertex Algebras and Algebraic Curves Séminaire Bourbaki 52eme année,no → \to. which is a summary of the book. Frenkel & D. Ben-Zvi Vertex Algebras and Algebraic Curves Mathematical Surveys and Monographs (vol. 88) AMS () → \to.

The main point of this entry is that these particular two texts are available online. Presents an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. This book contains several topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras Reviews: 1.

VERTEX ALGEBRAS AND ALGEBRAIC CURVES by Edward FRENKEL Seminaire BOURBAKI 52e annee,n°p. a Juin 1. INTRODUCTION Vertex operators appeared in the early days of string theory as local operators describing propagation of string states.

Mathematical analogues of these operators were discovered in representation theory of affine Kac-Moody algebras. [BF] D. Ben-Zvi and E. Frenkel - Vertex algebras and algebraic curves, book in preparation. Zbl [B1] R. Borcherds - Vertex algebras, Kac-Moody algebras and the monster.

Proc. Nat. Acad. Sci. USA83 () Zbl MR [B2] R. Borcherds - Monstrous moonshine and monstrous Lie superalgebras, Invent. Math ( Vertex algebras are algebraic objects that formalize the concepts of vertex operators and operator product expansion which originated from physics.

They were defined by Borcherds and studied. Vertex Algebras and Algebraic Curves 作者: Edward Frenkel / David Ben-Zvi 出版社: American Mathematical Society 出版年: 页数: 定价: USD 装帧:. These lecture notes are intended to give a modest impulse to anyone willing to start or pursue a journey into the theory of Vertex Algebras by reading one of Kac's or Lepowsky-Li's books.

Therefore, the primary goal is to provide required tools and help being acquainted with the machinery which the whole theory is based on.

The exposition follows Kac's approach. Fundamental examples. theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals, and polynomials, such as is often covered in a one-semester course in mod-ern algebra; additional commutative algebra is developed in later.

This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their.

This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship between vertex algebras and the geometry of moduli spaces of algebraic curves.

The authors make the first steps toward reformulating the theory of vertex algebras. Commutative vertex algebras. A vertex algebra V is commutative if all vertex operators commute with each other.

This is equivalent to the property that all products Y(u,z)v lie in V[[z]].Given a commutative vertex algebra, the constant terms of multiplication endow the vector space with a commutative ring structure, and T is a derivation.

Conversely, any commutative ring V with derivation T. VERTEX ALGEBRAS AND ALGEBRAIC CURVES by EDWARD FRENKEL 1. INTRODUCTION Another application of vertex algebras to algebraic geometry is the recent construction by Malikov, Schechtman and Vaintrob [MSV] of a sheaf of vertex superalgebras on an results) is developed in the forthcoming book [FB].

This is done both for Virasoro vertex algebras as well as affine Kac-Moody algebras. The book ends with a thorough discussion of chiral algebras, which give a coordinate-free approach to the operator product expansion on algebraic curves.5/5(1)."This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves.

The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional.