Rational and integral points on higher dimensional varieties

This web page highlights some of the conjectures and open problems concerning Rational and integral points on higher dimensional varieties.

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1. Lecture Notes
1. Colliot-Thelene 1: Rational points on surfaces with a pencil ...
2. Colliot-Thelene 2: Rational points on surfaces with a pencil ...
3. de Jong: Rationally Connected Varieties
4. Graber: Rationally Connected Varieties
5. Harari 1: Weak approximation on algebraic varieties (introduction)
6. Harari 2: Weak approximation on algebraic varieties (cohomology)
7. Hassett 1: Equations of Universal Torsors
8. Hassett 2: Weak approximation for function fields
9. Heath-Brown: Rational Points and Analytic Number Theory
10. Mazur: Families of rationally connected subvarieties
11. Peyre: Motivic height zeta functions
12. Raskind: Descent on Simply Connected Algebraic Surfaces
13. Rotger: Rational points on Shimura varieties
14. Salberger: Arithmetic Bezout and Rational Points of Bounded Height
15. Skorobogatov: Counterexamples to the Hasse Principle...
16. Vojta: Big semistable vector bundles
17. Wooley: The Circle Method
18. Yafaev: Descent on certain Shimura curves
2. Problems
1. List of open problems
2. Photos
3. Glossary
4. Miscellaneous Photos

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