Arithmetic and Geometry

by Dieulefait, Luis Faltings, Gerd Heath-Brown, D. R. Manin, Yu. V. Moroz, B. Z. Wintenberger, Jean-Pierre

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The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.

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Title Statements

Full title :Arithmetic and Geometry / edited by Luis Dieulefait, Gerd Faltings, D.R. Heath-Brown, Yu. V. Manin, B.Z. Moroz, Jean-Pierre Wintenberger.

Summary

The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2015.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781316106877, 131610687X, 9781107462540, 1107462541
oclc:on1167608185
LC Classification:QA241
Dewey Decimal:510

Cover; Series page; Title page; Copyright page; Contents; Preface; Introduction; List of participants; Trimester Seminar; Workshop on Serre's conjecture; The research conference; 1 Galois groups of local fields, Lie algebras and ramification; 2 A characterisation of ordinary modular eigenforms with CM; 3 Selmer complexes and p-adic Hodge theory; 4 A survey of applications of the circle method to rational points; 5 Arithmetic differential equations of Painlevé VI type; 6 Differential calculus with integers; 7 Un calcul de groupe de Brauer et une application arithmétique

8 Connectedness of Hecke algebras and the Rayuelaconjecture: a path to functoriality and modularity9 Big image of Galois representations and congruence ideals; 10 The skew-symmetric pairing on the Lubin-Tate formal module; 11 Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry; 12 On the -adic regulator as an ingredient of Iwasawa theory; 13 On a counting problem for G-shtukas; 14 Modular forms and Calabi-Yau varieties; 15 Derivative of symmetric square p-adic L-functions via pull-back formula

16 Uniform bounds for rational points on cu…

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