Intersections Of Hirzebruch Zagier Divisors And Cm Cycles

Download Intersections Of Hirzebruch Zagier Divisors And Cm Cycles full books in PDF, epub, and Kindle. Read online Intersections Of Hirzebruch Zagier Divisors And Cm Cycles ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Intersections of Hirzebruch–Zagier Divisors and CM Cycles

Author : Benjamin Howard
Publisher : Springer Science & Business Media
ISBN 13 : 3642239781
Total Pages : 146 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!

Book Synopsis Intersections of Hirzebruch–Zagier Divisors and CM Cycles by : Benjamin Howard

Download or read book Intersections of Hirzebruch–Zagier Divisors and CM Cycles written by Benjamin Howard and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.

Intersections of Arithmetic Hirzebruch-Zagier Cycles

Author : Ulrich Terstiege
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (455 download)

DOWNLOAD NOW!

Book Synopsis Intersections of Arithmetic Hirzebruch-Zagier Cycles by : Ulrich Terstiege

Download or read book Intersections of Arithmetic Hirzebruch-Zagier Cycles written by Ulrich Terstiege and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

WIN -- Women in Numbers

Author : Alina Carmen Cojocaru
Publisher : American Mathematical Soc.
ISBN 13 : 0821852264
Total Pages : 300 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis WIN -- Women in Numbers by : Alina Carmen Cojocaru

Download or read book WIN -- Women in Numbers written by Alina Carmen Cojocaru and published by American Mathematical Soc.. This book was released on 2011 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers on number theory which evolved out of the workshop WIN-Women In Numbers, held November 2-7, 2008. It includes articles showcasing outcomes from collaborative research initiated during the workshop as well as survey papers aimed at introducing graduate students and recent PhDs to important research topics in number theory.

Higher Ramanujan Equations and Periods of Abelian Varieties

Author : Tiago J. Fonseca
Publisher : American Mathematical Society
ISBN 13 : 147046019X
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Higher Ramanujan Equations and Periods of Abelian Varieties by : Tiago J. Fonseca

Download or read book Higher Ramanujan Equations and Periods of Abelian Varieties written by Tiago J. Fonseca and published by American Mathematical Society. This book was released on 2023-01-18 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Sage for Undergraduates

Author : Gregory V. Bard
Publisher : American Mathematical Society
ISBN 13 : 1470461552
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Sage for Undergraduates by : Gregory V. Bard

Download or read book Sage for Undergraduates written by Gregory V. Bard and published by American Mathematical Society. This book was released on 2022-09-26 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the open-source and free alternative to expensive software like Maple™, Mathematica®, and MATLAB®, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and share the results with others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students during Calculus II, Multivariate Calculus, Differential Equations, Linear Algebra, Math Modeling, or Operations Research. This book assumes no background in programming, but the reader who finishes the book will have learned about 60 percent of a first semester computer science course, including much of the Python programming language. The audience is not only math majors, but also physics, engineering, environmental science, finance, chemistry, economics, data science, and computer science majors. Many of the book's examples are drawn from those fields. Filled with “challenges” for the students to test their progress, the book is also ideal for self-study. What's New in the Second Edition: In 2019, Sage transitioned from Python 2 to Python 3, which changed the syntax in several significant ways, including for the print command. All the examples in this book have been rewritten to be compatible with Python 3. Moreover, every code block longer than four lines has been placed in an archive on the book's website http://www.sage-for-undergraduates.org that is maintained by the author, so that the students won't have to retype the code! Other additions include… The number of “challenges” for the students to test their own progress in learning Sage has roughly doubled, which will be a great boon for self-study.There's approximately 150 pages of new content, including: New projects on Leontief Input-Output Analysis and on Environmental ScienceNew sections on Complex Numbers and Complex Analysis, on SageTex, and on solving problems via Monte-Carlo Simulations.The first three sections of Chapter 1 have been completely rewritten to give absolute beginners a smoother transition into Sage.

Women in Numbers 2

Author : Chantal David
Publisher : American Mathematical Soc.
ISBN 13 : 1470410222
Total Pages : 218 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Women in Numbers 2 by : Chantal David

Download or read book Women in Numbers 2 written by Chantal David and published by American Mathematical Soc.. This book was released on 2013-12-10 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields. This book is co-published with the Centre de Recherches Mathématiques.

The 1-2-3 of Modular Forms

Author : Jan Hendrik Bruinier
Publisher : Springer Science & Business Media
ISBN 13 : 3540741194
Total Pages : 273 pages
Book Rating : 4.5/5 (47 download)

DOWNLOAD NOW!

Book Synopsis The 1-2-3 of Modular Forms by : Jan Hendrik Bruinier

Download or read book The 1-2-3 of Modular Forms written by Jan Hendrik Bruinier and published by Springer Science & Business Media. This book was released on 2008-02-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.

Analytic Number Theory

Author : William Duke
Publisher : American Mathematical Soc.
ISBN 13 : 9780821843079
Total Pages : 270 pages
Book Rating : 4.8/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Analytic Number Theory by : William Duke

Download or read book Analytic Number Theory written by William Duke and published by American Mathematical Soc.. This book was released on 2007 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in Gottingen on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet. Among the topics are the distribution of primes (long arithmetic progressions of primes and small gaps between primes), class groups of binary quadratic forms, various aspects of the theory of $L$-functions, the theory of modular forms, and the study of rational and integral solutions to polynomial equations in several variables. Information for our distributors: Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Algebraic Groups and Arithmetic

Author : S. G. Dani
Publisher : Narosa Publishing House
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Groups and Arithmetic by : S. G. Dani

Download or read book Algebraic Groups and Arithmetic written by S. G. Dani and published by Narosa Publishing House. This book was released on 2004 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major advances have been made in recent decades in algebraic groups and arithmetic. The School of Mathematics of the Tata Institute of Fundamental Research, under the leadership of Professor M. S. Raghunathan, has been a significant contributor to this progress. This collection of papers grew out of a conference held in honor of Professor Raghunathan's sixtieth birthday. The volume contains original papers contributed by leading experts. Topics covered include group-theoretic aspects, Diophantine approximation, modular forms, representation theory, interactions with topology and geometry, and dynamics on homogeneous spaces. Particularly noteworthy are two expository articles on Professor Raghunathan's work by the late Armand Borel and Gopal Prasad. The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

Abstracts of Papers Presented to the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1999 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Author : Jayce Getz
Publisher : Springer Science & Business Media
ISBN 13 : 3034803516
Total Pages : 264 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change by : Jayce Getz

Download or read book Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change written by Jayce Getz and published by Springer Science & Business Media. This book was released on 2012-03-28 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.

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

Author : Jan H. Bruinier
Publisher : Springer
ISBN 13 : 3540458727
Total Pages : 159 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

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 and published by Springer. This book was released on 2004-10-11 with total page 159 pages. 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.

Dissertation Abstracts International

Author :
Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1999 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Gross-Zagier Formula on Shimura Curves

Author : Xinyi Yuan
Publisher : Princeton University Press
ISBN 13 : 0691155925
Total Pages : 266 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!

Book Synopsis The Gross-Zagier Formula on Shimura Curves by : Xinyi Yuan

Download or read book The Gross-Zagier Formula on Shimura Curves written by Xinyi Yuan and published by Princeton University Press. This book was released on 2013 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This is followed by a complete proof of its coherent analogue: the Waldspurger formula, which relates the periods of integrals and the special values of L-series by means of Weil representations. The Gross-Zagier formula is then reformulated in terms of incoherent Weil representations and Kudla's generating series. Using Arakelov theory and the modularity of Kudla's generating series, the proof of the Gross-Zagier formula is reduced to local formulas. The Gross-Zagier Formula on Shimura Curves will be of great use to students wishing to enter this area and to those already working in it.

Modular Forms, a Computational Approach

Author : William A. Stein
Publisher : American Mathematical Soc.
ISBN 13 : 0821839608
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Modular Forms, a Computational Approach by : William A. Stein

Download or read book Modular Forms, a Computational Approach written by William A. Stein and published by American Mathematical Soc.. This book was released on 2007-02-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry of Algebraic Cycles

Author : Reza Akhtar
Publisher : American Mathematical Soc.
ISBN 13 : 0821851918
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Algebraic Cycles by : Reza Akhtar

Download or read book The Geometry of Algebraic Cycles written by Reza Akhtar and published by American Mathematical Soc.. This book was released on 2010 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.