Introduction to Automorphic Representations

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.

Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.

• Análise complexa, variáveis ??complexas
• Grupos e teoria do grupo
• Teoria dos números
• Geometria algébrica

Automorphic representations;Langlands program;Langlands functoriality;Shimura varieties;automorphic forms;cohomology of locally symmetric spaces;distinguished representations;number theory;reductive groups;supercuspidal representations;trace formula;unramified representations;automorphic forms