Seminar on Analogues of prime numbers on function fields of curves and Height estimates in function fields
Prerequisites
The series of seminars does not require big prerequisites, and is addressed to all students in mathematics from III year onwards. Some basic algebraic is required and some basic knowledge of the theory of algebraic curves too.
Programme
We intend to present the basic theory of zeta functions in function fields of curves over finite fields, and give several treatments for estimating the number of points.
Educational aims
To furnish basic knowledge
Bibliographical references
There are too many sources to be quoted and we shall give references during the course.