2014/08/06 by Beshenov, Alexey, Bilu, Margaret, Bilu, Yuri +1
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1408.1441
These are expanded notes of the mini-courses on Pila's work that Yuri Bilu gave in Basel in April 2011, Yaroslavl in August 2011 and Chennai in February 2012. The topics covered include the Bombieri-Pila theorem, its extensions and applications to some prominent conjectures (Manin-Mumford, André-Oort).