Stable Klingen Vectors and Paramodular Newforms Lecture Notes in Mathematics | 1st ed. 2023 Edition

Compare Textbook Prices for Stable Klingen Vectors and Paramodular Newforms Lecture Notes in Mathematics 1st ed. 2023 Edition ISBN 9783031451768 by Johnson-Leung, Jennifer,Roberts, Brooks,Schmidt, Ralf
Authors: Johnson-Leung, Jennifer,Roberts, Brooks,Schmidt, Ralf
ISBN:3031451767
ISBN-13: 9783031451768
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Details about Stable Klingen Vectors and Paramodular Newforms Lecture Notes in Mathematics:

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.

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With over 30 years of teaching, I have the honor and pleasure to say that I have former students – who are doctors, scientists, Engineers, and business men & women - who still keep in touch and even come to visit. Some keep in-touch even from other countries and many call or Skype; and some call for help and advice. Read more

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