School of Mathematics Colloquium

On the canonical degree of curves on varieties of general type

by Prof. Gasbarri C. (University of Strasbourg, France)

Wednesday, March 7, 2012 from to (Asia/Kolkata)
at Colaba Campus ( Lecture Theatre AG-66 )
Description
One of the leading conjectures in arithmetic and algebraic
geometry is the Vojta conjecture. The famous abc conjecture is a special
case of it and it implies a precise control of the behavior of algebraic
points on varieties of general type. Even in the function fields case,
although much more then the number field case is known, the main conjecture
is widely open. I will report on the conjecture and explain how some Shimura
varieties provide some insight on the conjecture.