{"product_id":"p-adic-automorphic-forms-on-shimura-varieties-in-depth","title":"p-Adic Automorphic Forms on Shimura Varieties - In-depth","description":"\u003cp\u003eIn this review of p-Adic Automorphic Forms on Shimura Varieties, the reviewer finds a rigorous, research-level treatment best suited to advanced graduate students and active researchers. The book's single biggest reason to buy is its comprehensive pathway from classical elliptic and Hilbert modular forms to cutting-edge p-adic techniques, making it a rare resource that ties foundational material to current research directions. Readers will appreciate the depth and careful exposition that prepares one to engage with contemporary problems in number theory and arithmetic geometry.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eComprehensive foundation:\u003c\/strong\u003e The book opens with a detailed study of elliptic and Hilbert modular forms, giving readers a solid grounding before advancing to more technical material.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eResearch orientation:\u003c\/strong\u003e It progresses to topics at the forefront of research, so readers are exposed to methods and results that inform current work in p-adic automorphic theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFocus on applications:\u003c\/strong\u003e The treatment emphasizes how p-adic modular forms have been essential to breakthroughs in number theory, connecting theory with major applications.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eStructured exposition:\u003c\/strong\u003e Material is arranged to lead the reader from classical theory to sophisticated p-adic constructions in a logical sequence that aids learning.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAdvanced scope:\u003c\/strong\u003e The text reaches topics that are now focal points for worldwide research, making it valuable for those aiming to contribute to the field.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is aimed at advanced graduate students, doctoral researchers, and established mathematicians working in number theory, arithmetic geometry, or automorphic forms who need a thorough, research-oriented reference. It is especially useful for those preparing to work on problems involving p-adic methods or Shimura varieties.\u003c\/p\u003e\n\u003cp\u003eIt is not intended for casual readers or those seeking an introductory textbook on elementary modular forms; readers without a solid background in algebraic number theory and classical modular forms should look for more elementary treatments before attempting this monograph.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eAuthoritative, research-level exposition that connects classical and p-adic theories.\u003c\/li\u003e\n\u003cli\u003eCareful development from elliptic and Hilbert modular forms to advanced topics aids comprehension for prepared readers.\u003c\/li\u003e\n\u003cli\u003eEmphasis on applications highlights why p-adic methods are central to modern breakthroughs in number theory.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot suitable for beginners; requires substantial prior background to follow the advanced material.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003ep-Adic Automorphic Forms on Shimura Varieties\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer Monographs in Mathematics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eHaruzo Hida\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eElliptic and Hilbert modular forms to p-adic automorphic theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eAdvanced graduate students and researchers\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubject area\u003c\/td\u003e\n\u003ctd\u003eNumber theory and arithmetic geometry\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003ep-Adic Automorphic Forms on Shimura Varieties is a substantial, well-organized monograph that rewards readers with the right background; it is an excellent value for researchers who need a coherent bridge from classical modular forms to contemporary p-adic techniques and applications in number theory.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for self-study?\u003c\/strong\u003e\u003cbr\u003eYes for readers with a strong background in algebraic number theory and modular forms, but beginners should first study more introductory texts.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it cover applications to recent breakthroughs?\u003c\/strong\u003e\u003cbr\u003eYes, the book emphasizes how p-adic elliptic and Hilbert modular forms have been essential in major recent advances in number theory.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho is the author?\u003c\/strong\u003e\u003cbr\u003eThe monograph is by Haruzo Hida, presented in the Springer Monographs in Mathematics series.\u003c\/p\u003e","brand":"Haruzo Hida","offers":[{"title":"Default Title","offer_id":48153563005147,"sku":"1441919236","price":198.17,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61MaBy_buEL._SL1272.jpg?v=1768838816","url":"https:\/\/gearmusthave.com\/products\/p-adic-automorphic-forms-on-shimura-varieties-in-depth","provider":"GearMustHave","version":"1.0","type":"link"}