Share

Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors

2004-10-11 Mathematics
Download Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors PDF Online Free

Author :
Release : 2004-10-11
Genre : Mathematics
Kind : eBook
Book Rating : 727/5 ( reviews)

GET EBOOK


Book Synopsis Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors by : Jan H. Bruinier

Download or read book Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors written by Jan H. Bruinier. This book was released on 2004-10-11. Available in PDF, EPUB and Kindle. Book excerpt: Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2,n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.

Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors

2000
Download Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors PDF Online Free

Author :
Release : 2000
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors by : Jan Hendrik Bruinier

Download or read book Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors written by Jan Hendrik Bruinier. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry and Analysis of Automorphic Forms of Several Variables

2012 Mathematics
Download Geometry and Analysis of Automorphic Forms of Several Variables PDF Online Free

Author :
Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 607/5 ( reviews)

GET EBOOK


Book Synopsis Geometry and Analysis of Automorphic Forms of Several Variables by : Yoshinori Hamahata

Download or read book Geometry and Analysis of Automorphic Forms of Several Variables written by Yoshinori Hamahata. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda''s 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.

Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer 2003/2004

2004 Mathematics
Download Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer 2003/2004 PDF Online Free

Author :
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 512/5 ( reviews)

GET EBOOK


Book Synopsis Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer 2003/2004 by : Yuri Tschinkel

Download or read book Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer 2003/2004 written by Yuri Tschinkel. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Winter Term 2003-2004. Most contributions report on recent work by the authors.

Partition Functions and Automorphic Forms

2020-07-09 Mathematics
Download Partition Functions and Automorphic Forms PDF Online Free

Author :
Release : 2020-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 006/5 ( reviews)

GET EBOOK


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. This book was released on 2020-07-09. 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.

You may also like...