The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway
2008
ISBN: 978-3-540-74117-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 266 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 429 g

Reihe: Universitext

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, and together they form a comprehensive survey for the novice and a useful reference for a broad group of mathematicians.

Zielgruppe

Graduate

Autoren/Hrsg.

Bruinier, Jan Hendrik

Geer, Gerard Van Der

Zagier, Don

Harder, Günter

Ranestad, Kristian

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Elliptic Modular Forms and Their Applications.- Hilbert Modular Forms and Their Applications.- Siegel Modular Forms and Their Applications.- Congruence Between a Siegel and an Elliptic Modular Form.