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Arithmetic and geometry 1st Edition by Luis Dieulefait, Gerd Faltings, Heath-Brown, Manin, Moroz, Jean Pierre Wintenberger ISBN 978-1107462540 1107462541

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Arithmetic and geometry 1st Edition Luis Dieulefait Digital Instant Download

Author(s): Luis Dieulefait, Gerd Faltings, D. R. Heath-Brown, Yu. V. Manin, B. Z. Moroz, Jean-Pierre Wintenberger
ISBN(s): 9783613623637, 3613623633
Edition: 1
File Details: PDF, 3.15 MB
Year: 2015
Language: english
SKU: EB-5742844 Category: Tags: , , , , ,

Arithmetic and geometry 1st Edition by Luis Dieulefait, Gerd Faltings, D. R. Heath-Brown, Yu. V. Manin, B. Z. Moroz, Jean-Pierre Wintenberger- Ebook PDF Instant Download/Delivery: 978-1107462540, 1107462541
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Product details: 

ISBN 10:  1107462541

ISBN 13: 978-1107462540

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

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.
 

Table of contents: 

1. Galois groups of local fields, Lie algebras, and ramification Victor Abrashkin
2. A characterisation of ordinary modular eigenforms with CM Rajender Adibhatla and Panagiotis Tsaknias
3. Selmer complexes and p-adic Hodge theory Denis Benois
4. A survey of applications of the circle method to rational points T. D. Browning
5. Arithmetic differential equations of Painleve VI type Alexandru Buium and Yuri I. Manin
6. Differential calculus with integers Alexandru Buium
7. Un calcul de groupe de Brauer et une application arithmetique Jean-Louis Colliot-Thelene
8. Connectedness of Hecke algebras and the Rayuela conjecture: a path to functoriality and modularity Luis Dieulefait and Ariel Pacetti
9. Big image of Galois representations and congruence ideals Haruzo Hida and Jacques Tilouine
10. The skew-symmetric pairing on the Lubin-Tate formal module M. A. Ivanov and S. V. Vostokov
11. Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry Boris Kunyavskii
12. On the â -adic regulator as an ingredient of Iwasawa theory L. V. Kuz’min
13. On a counting problem for G-shtukas Ngo Dac Tuan
14. Modular forms and Calabi-Yau varieties Kapil Paranjape and Dinakar Ramakrishnan
15. Derivative of symmetric square p-adic L-functions via pull-back formula Giovanni Rosso
16. Uniform bounds for rational points on cubic hypersurfaces Per Salberger
17. Descent on toric fibrations Alexei N. Skorobogatov
18. On filtrations of vector bundles over P1Z A. Smirnov
19. On the dihedral Euler characteristics of Selmer groups of Abelian varieties Jeanine Van Order
20. CM values of higher Green’s functions and regularized Petersson products Maryna Viazovska.

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Tags: Luis Dieulefait, Gerd Faltings, Heath Brown, Manin, Moroz, Jean Pierre Wintenberger, Arithmetic and geometry