Theoretical Statistics and Mathematics Unit, ISI Delhi

August 10, 2011 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Prasenjit Bhowmik,
Universit\'e de Lyon, France

Title:
Algebraic values of meromorphic maps and transcendence

Abstract of Talk

A general theorem in transcendence theory, the so called
``Schneider-Lang criterio'', which roughly says that if a collection
of meromorphic function satisfies a system of linear differential
equations then there are only finitely many complex numbers at which
the functions assumes algebraic values simultaneously and the
cardinality of the set of complex points can be bounded by the growth
of the functions and the degree of the number field. I will speak on
this and on more recent progresses in this direction ( in particular
the more challenging question of eliminating the dependence of the
number field in the cardinality bound ).