Thursday, 2nd February 2006, 4:00 pm

Mathematics Building, Lecture Hall 2

Lucien Szpiro

(Orsay/CUNY)

"Classical questions in Diophantine Geometry and their relation to Algebraic Dynamical Systems on the Riemann Sphere"

** Abstract: **
We will explain how the study of preperiodic points for
algebraic dynamical systems puts into perpective many open
problems in diophantine geometry (e.g. Lehmer conjecture,
the abc conjecture, effective bounds for rational points).
We will introduce the main tools: canonical height,
equidistribution of sequences of small points. Function
field analogues will also be mentioned.

Light refreshments will be served in the faculty lounge at 3:30.

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