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Friday, April 13, 2012

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 347 Altgeld Hall,  Friday, April 13, 2012
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Submitted by phierony.
Philipp Hieronymi (Department of Mathematics, University of Illinois at Urbana-Champaign)
The Pila-Wilkie theory: The rational points of a definable set
Abstract: We will continue our series of talks on the paper 'The rational points of a definable set' by Pila and Wilkie. In this talk we present the proof of Theorem 1.10, the main result of the paper. If time permits, the Pila-Zannier proof of the Manin-Mumford Conjecture using the estimates of Pila-Wilkie will be discussed.