Conjecture Geometry

The Novikov Conjecture: Geometry and Algebra [Repost]  

Posted by AlenMiler at Sept. 24, 2014
The Novikov Conjecture: Geometry and Algebra [Repost]

The Novikov Conjecture: Geometry and Algebra (Oberwolfach Seminars) by Wolfgang Lück
Birkhäuser; 2005 edition | November 22, 2004 | English | ISBN: 3764371412 | 266 pages | PDF | 2 MB

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem.

The Novikov Conjecture: Geometry and Algebra (repost)  

Posted by interes at Feb. 10, 2014
The Novikov Conjecture: Geometry and Algebra (repost)

The Novikov Conjecture: Geometry and Algebra (Oberwolfach Seminars) by Matthias Kreck and Wolfgang Lück
English | 2005 | ISBN: 3764371412 | Pages: 266 | PDF | 1,6 MB

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented.

Arithmetic and Geometry (London Mathematical Society Lecture Note)  eBooks & eLearning

Posted by readerXXI at Nov. 27, 2016
Arithmetic and Geometry (London Mathematical Society Lecture Note)

Arithmetic and Geometry (London Mathematical Society Lecture Note Series , V. 420)
by Luis Dieulefait and Gerd Faltings
English | 2015 | ISBN: 1107462541 | 538 Pages | True PDF | 5.29 MB

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.

Model Theory and Algebraic Geometry  

Posted by step778 at March 3, 2015
Model Theory and Algebraic Geometry

Elisabeth Bouscaren, "Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture"
1998 | pages: 222 | ISBN: 3540648631 | PDF | 8,8 mb
Heights in Diophantine Geometry (New Mathematical Monographs) by Walter Gubler

Heights in Diophantine Geometry (New Mathematical Monographs) by Walter Gubler
English | Feb 20, 2006 | ISBN: 0521846153 | 669 Pages | PDF | 13 MB

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture.
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (repost)

Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture by Jakob Stix
English | 2013 | ISBN-10: 364230673X | 269 pages | PDF | 1,6 MB

The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group.

Diophantine Geometry: An Introduction (repost)  

Posted by interes at Aug. 23, 2014
Diophantine Geometry: An Introduction (repost)

Diophantine Geometry: An Introduction by Marc Hindry, Joseph H. Silverman
English | 2009 | ISBN: 0387989811, 0387989757 | 558 pages | PDF | 13,3 MB

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (repost)

Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture by Jakob Stix
English | 2013 | ISBN-10: 364230673X | 269 pages | PDF | 1,6 MB

The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group.

Logarithmic Forms and Diophantine Geometry (repost)  

Posted by interes at March 9, 2014
Logarithmic Forms and Diophantine Geometry (repost)

Logarithmic Forms and Diophantine Geometry (New Mathematical Monographs) by A. Baker and G. Wüstholz
English | 2008-02-18 | ISBN: 0521882680 | 210 pages | PDF | 1 Mb

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture.
Combinatorial Geometry with Application to Field Theory (repost)

Combinatorial Geometry with Application to Field Theory by Linfan Mao
English | 2009 | ISBN: 1599731002 | 497 pages | PDF | 3 MB

This monograph is motivated with surveying mathematics and physics by CC conjecture, i.e., a mathematical science can be reconstructed from or made by combinatorialization.