The 1-2-3 of modular forms : lectures at a summer school in Nordfjordeid, Norway /

Bruinier, Jan Hendrik

The 1-2-3 of modular forms : lectures at a summer school in Nordfjordeid, Norway / Jan Hendrik Bruinier and others - Germany Springer 2008 - 266 p.

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.

9783540741176


Forms, Modular
Hilbert modular surfaces
Number theory
Algebra
Geometry, Algebraic
Mathematical physics

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