Arithmetic and Geometry
eBook - PDF

Arithmetic and Geometry

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Arithmetic and Geometry

About this book

The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry. It is also essential reading for any researcher wishing to keep abreast of the latest developments in the field. Highlights include Tim Browning's survey on applications of the circle method to rational points on algebraic varieties and Per Salberger's chapter on rational points on cubic hypersurfaces.

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Yes, you can access Arithmetic and Geometry by Luis Dieulefait,Gerd Faltings,D. R. Heath-Brown,Yu. V. Manin,B. Z. Moroz,Jean-Pierre Wintenberger in PDF and/or ePUB format, as well as other popular books in Matemáticas & Teoría de números. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series page
  3. Title page
  4. Copyright page
  5. Contents
  6. Preface
  7. Introduction
  8. List of participants
  9. Trimester Seminar
  10. Workshop on Serre's conjecture
  11. The research conference
  12. 1 Galois groups of local fields, Lie algebras and ramification
  13. 2 A characterisation of ordinary modular eigenforms with CM
  14. 3 Selmer complexes and p-adic Hodge theory
  15. 4 A survey of applications of the circle method to rational points
  16. 5 Arithmetic differential equations of Painlevé VI type
  17. 6 Differential calculus with integers
  18. 7 Un calcul de groupe de Brauer et une application arithmétique
  19. 8 Connectedness of Hecke algebras and the Rayuelaconjecture: a path to functoriality and modularity
  20. 9 Big image of Galois representations and congruence ideals
  21. 10 The skew-symmetric pairing on the Lubin–Tate formal module
  22. 11 Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry
  23. 12 On the -adic regulator as an ingredient of Iwasawa theory
  24. 13 On a counting problem for G-shtukas
  25. 14 Modular forms and Calabi-Yau varieties
  26. 15 Derivative of symmetric square p-adic L-functions via pull-back formula
  27. 16 Uniform bounds for rational points on cubic hypersurfaces
  28. 17 Descent on toric fibrations
  29. 18 On filtrations of vector bundles over P[sup(1)sub(Z)]
  30. 19 On the dihedral Euler characteristics of Selmer groups of Abelian varieties
  31. 20 CM values of higher Green's functions and regularized Petersson products