Unlikely Intersections, Heights, And Efficient Congruencing

ag.algebraic-geometry ca.classical-analysis-and-odes lo.logic nt.number-theory
Start Date
2017-01-01 
End Date
2017-06-30 
Institution
Fields Institute, University of Toronto 
City
Toronto, ON 
Country
Canada 
Meeting Type
long-term research program 
Homepage
https://www.fields.utoronto.ca/programs/scientific/16-17/congruencing/index.html 
Contact Name
 

Description

In recent years there has been a great deal of success in applying methods of analytic number theory to questions of arithmetic geometry. This conference will focus on three topics: o-minimality, heights, and "efficient congruencing". The first two topics have been very useful in attacking conjectures regarding "special" points such as the Andre-Oort conjecture, or more generally the Zilber-Pink conjecture, while the third establishes the Hasse principle for certain varieties associated with translation-dilation invariant systems at the threshold of the convexity barrier.

This program will include several conferences, to be posted separately.

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