Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Supersingular P-Adic L-Functions, Maass-Shimura Operators And Waldspurger Formulas: (Ams-212)ISBN13:9780691216461ISBN10:0691216460Author:Kriz, Daniel (Author)Description:A Groundbreaking Contribution To Number Theory That Unifies Classical And Modern Results This Book Develops A New Theory Of P-Adic Modular Forms On Modular Curves, Extending Katz's Classical Theory To The Supersingular Locus The Main Novelty Is To Move To Infinite Level And Extend Coefficients To Period Sheaves Coming From Relative P-Adic Hodge Theory This Makes It Possible To Trivialize The Hodge Bundle On The Infinite-Level Modular Curve By A Canonical Differential That Restricts To The Katz Canonical Differential On The Ordinary Igusa Tower Daniel Kriz Defines Generalized P-Adic Modular Forms As Sections Of Relative Period Sheaves Transforming Under The Galois Group Of The Modular Curve By Weight Characters He Introduces The Fundamental De Rham Period, Measuring The Position Of The Hodge Filtration In Relative De Rham Cohomology This Period Can Be Viewed As A Counterpart To Scholze's Hodge-Tate Period, And The Two Periods Satisfy A Legendre-Type Relation Using These Periods, Kriz Constructs Splittings Of The Hodge Filtration On The Infinite-Level Modular Curve, Defining P-Adic Maass-Shimura Operators That Act On Generalized P-Adic Modular Forms As Weight-Raising Operators Through Analysis Of The P-Adic Properties Of These Maass-Shimura Operators, He Constructs New P-Adic L-Functions Interpolating Central Critical Rankin-Selberg L-Values, Giving Analogues Of The P-Adic L-Functions Of Katz, Bertolini-Darmon-Prasanna, And Liu-Zhang-Zhang For Imaginary Quadratic Fields In Which P Is Inert Or Ramified These P-Adic L-Functions Yield New P-Adic Waldspurger Formulas At Special Values Binding:Paperback, PaperbackPublisher:Princeton University PressPublication Date:2021-11-09Weight:0 lbsDimensions:Number of Pages:240Language:English
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Book Title: Supersingular P-Adic L-Functions, Maass-Shimura Operators An...
Number of Pages: 280 Pages
Publication Name: Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas : (Ams-212)
Language: English
Publisher: Princeton University Press
Item Height: 0.7 in
Subject: General, Number Theory, Algebra / General
Publication Year: 2021
Type: Textbook
Item Weight: 14.7 Oz
Item Length: 9.2 in
Author: Daniel Kriz
Subject Area: Mathematics
Item Width: 6.1 in
Series: Annals of Mathematics Studies
Format: Trade Paperback
