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Some problems arising from the Diophantine study of algebraic foliations

Presented by: 
JB Bost [Paris]
Date: 
Wednesday 30th March 2005 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 

This survey talk will be devoted to various problems arising in the study of Diophantine properties of algebraic foliations.

Hopefully, I will explain (1) how algebraic foliations naturally enters into arithmetic geometry, (2) some known results established notably by means of Diophantine approximation techniques (concerning in particular the Grothendieck-Katz conjecture and its generalizations), and (3) discuss some Diophantine conjectures/problems, and some problems in (differential-)algebraic geometry arising from the use of Diophantine approximation techniques. This last part should present various issues where I expect model theory to be relevant.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons