Modular Forms on Schiermonnikoog

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspiration for Langlands' conjectures and play an important role in the description of the cohomology of varieties defined over number fields. This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and algebraic geometry. "Modular forms are functions with an enormous amount or symmetry which play a central role in number theory connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. They pop up in string theory and played a decisive role in the proof of Fermat's Last Theorem. Modular forms formed the inspiration to Langlands' conjectures and are expected to play an important role in the description of the cohomology of varieties defined over number fields," "This collection of up-to-date articles originated from the conference "Modular Forms" held on the Island of Schiermonnikoog in the Netherlands in the autumn of 2006."--BOOK JACKET