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

By Mark Goresky and Jayce Getz

Book Overview

Chapter 1. Introduction.- Chapter 2. Review of Chains and Cochains.- Chapter 3. Review of Intersection Homology and Cohomology.- Chapter 4. Review of Arithmetic Quotients.- Chapter 5. Generalities on Hilbert Modular Forms and Varieties.- Chapter 6. Automorphic vector bundles and local systems.- Chapter 7. The automorphic description of intersection cohomology.- Chapter 8. Hilbert Modular Forms with Coefficients in a Hecke Module.- Chapter 9. Explicit construction of cycles.- Chapter 10. The full version of Theorem 1.3.- Chapter 11. Eisenstein Series with Coefficients in Intersection Homology.- Appendix A. Proof of Proposition 2.4.- Appendix B. Recollections on Orbifolds.- Appendix C. Basic ad?lic facts.- Appendix D. Fourier expansions of Hilbert modular forms.- Appendix E. Review of Prime Degree Base Change for GL2.- Bibliography.

• Format: Paperback
• Language: English
• ISBN: 3034807953
• ISBN13: 9783034807951
• Release Date: April 2014
• Publisher: Birkhauser
• Length: 258 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.7" x 6.1" x 9.0"