Description

Book Synopsis
1. Affine Algebraic Groups.- 2. Adeles.- 3. Discrete Automorphic Representations.- 4. Archimedean Representation Theory.- 5. Representations of Totally Disconnected Groups.- 6. Automorphic Forms.- 7. Unramified Representations.- 8. Nonarchimedean Representation Theory.- 9. The Cuspidal Spectrum.- 10. Einsenstein Series.- 11. Rankin-Selberg L-functions.- 12. Langlands Functoriality.- 13. Known Cases of Global Langlands Functoriality.- 14. Distinction and Period Integrals.- 15. The Cohomology of Locally Symmetric Spaces.- 16. Spectral Sides of the Trace Formulae.- 17. Orbital Integrals.- 18. Simple Trace Formulae.- 19. Applications of Trace Formulae.- A. Groups attached to involutions of algebras.- B. The Iwasawa Decomposition.- C. Poisson Summation.- D. Alternate conventions related to adelic quotients.- Hints to selected exercises.- References.- Index.

An Introduction to Automorphic Representations

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    A Hardback by Jayce R. Getz

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      Publisher: Springer
      Publication Date: 3/2/2024
      ISBN13: 9783031411519, 978-3031411519
      ISBN10: 303141151X
      Also in:
      Number theory

      Description

      Book Synopsis
      1. Affine Algebraic Groups.- 2. Adeles.- 3. Discrete Automorphic Representations.- 4. Archimedean Representation Theory.- 5. Representations of Totally Disconnected Groups.- 6. Automorphic Forms.- 7. Unramified Representations.- 8. Nonarchimedean Representation Theory.- 9. The Cuspidal Spectrum.- 10. Einsenstein Series.- 11. Rankin-Selberg L-functions.- 12. Langlands Functoriality.- 13. Known Cases of Global Langlands Functoriality.- 14. Distinction and Period Integrals.- 15. The Cohomology of Locally Symmetric Spaces.- 16. Spectral Sides of the Trace Formulae.- 17. Orbital Integrals.- 18. Simple Trace Formulae.- 19. Applications of Trace Formulae.- A. Groups attached to involutions of algebras.- B. The Iwasawa Decomposition.- C. Poisson Summation.- D. Alternate conventions related to adelic quotients.- Hints to selected exercises.- References.- Index.

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