Partition Functions and Automorphic Forms

Partition Functions and Automorphic Forms
Author :
Publisher : Springer Nature
Total Pages : 422
Release :
ISBN-10 : 9783030424008
ISBN-13 : 3030424006
Rating : 4/5 (08 Downloads)

Book Synopsis Partition Functions and Automorphic Forms by : Valery A. Gritsenko

Download or read book Partition Functions and Automorphic Forms written by Valery A. Gritsenko and published by Springer Nature. This book was released on 2020-07-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.


Partition Functions and Automorphic Forms Related Books

Partition Functions and Automorphic Forms
Language: en
Pages: 422
Authors: Valery A. Gritsenko
Categories: Mathematics
Type: BOOK - Published: 2020-07-09 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses
Multiple Dirichlet Series, L-functions and Automorphic Forms
Language: en
Pages: 367
Authors: Daniel Bump
Categories: Mathematics
Type: BOOK - Published: 2012-07-09 - Publisher: Springer

DOWNLOAD EBOOK

Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area w
Modular Functions and Dirichlet Series in Number Theory
Language: en
Pages: 218
Authors: Tom M. Apostol
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliogra
L-Functions and Automorphic Forms
Language: en
Pages: 367
Authors: Jan Hendrik Bruinier
Categories: Mathematics
Type: BOOK - Published: 2018-02-22 - Publisher: Springer

DOWNLOAD EBOOK

This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held
Conformal Field Theory, Automorphic Forms and Related Topics
Language: en
Pages: 370
Authors: Winfried Kohnen
Categories: Mathematics
Type: BOOK - Published: 2014-08-22 - Publisher: Springer

DOWNLOAD EBOOK

This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (V