
Regulators V
American Mathematical Society (Publisher)
Will be published approx. on 10. July 2026
Book
Paperback/Softback
280 pages
978-1-4704-7917-6 (ISBN)
Description
This volume is an outgrowth of the Regulators V Conference that was held on June 3-13, 2024, at the University of Pisa, Italy. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the latest advancements in the field of regulator maps and their applications. Key topics covered are: $A^1$-homotopy theory, classical and syntomic regulators, Hodge theory and algebraic cycles, motives, normal functions and Picard-Fuchs equations, and singular support in mixed characteristic.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7917-6 (9781470479176)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Federico Binda, Universita degli Studi di Milano, Italy, Jose Ignacio Burgos Gil, Instituto de Ciencias Matematicas, Madrid, Spain.
James Lewis, University of Alberta, Edmonton, Alberta, Canada.
Deepam Patel, Purdue University, West Lafayette, IN.
Gregory Pearlstein, Universita di Pisa, Italy
James Lewis, University of Alberta, Edmonton, Alberta, Canada.
Deepam Patel, Purdue University, West Lafayette, IN.
Gregory Pearlstein, Universita di Pisa, Italy
Content
Articles; Devin Akman, The A-factor locus of a normal function; Amnon Besser, Regulators and derivatives of Vologodsky functions with respect to $\log (p)$; Federico Binda and Alberto Vezzani, A motivic approach to rational $p$-adic cohomologies; Chongyao Chen and Kirsten Wickelgren, Quadratically enriched binomial coefficients over a finite field; Alain Connes and Caterina Consani, Knots, primes and class field theory; Herbert Gangl, The Grassmannian complex and Goncharov's motivic complex in weight 4; Herbert Gangl and Maxim Kontsevich, A finite regulator map for the Bloch group; Alexander B. Goncharov, Calculating Archimedean height pairing via generalized cross-ratio; Phillip Griffiths, Atypical Hodge loci; Matt Kerr, Motivic irrationality proofs; Takeshi Saito, On singular supports in mixed characteristic; Pierre Vanhove, Picard-Fuchs equations of twisted differential forms associated to Feynman integrals