Stable Klingen Vectors and Paramodular Newforms is popular PDF and ePub book, written by Jennifer Johnson-Leung in 2023-12-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stable Klingen Vectors and Paramodular Newforms can be Read Online from any device for your convenience.
Stable Klingen Vectors and Paramodular Newforms Book PDF Summary
This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field. Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.
Detail Book of Stable Klingen Vectors and Paramodular Newforms PDF
- Author : Jennifer Johnson-Leung
- Release : 27 December 2023
- Publisher : Springer Nature
- ISBN : 9783031451775
- Genre : Mathematics
- Total Page : 372 pages
- Language : English
- PDF File Size : 12,8 Mb
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