Seminar series
Date
Thu, 21 Oct 2010
Time
16:00 -
17:00
Location
L3
Speaker
Dr A Gorodnik
Organisation
Bristol
Given a polynomial function f defined on a variety X,
we consider two questions, which are non-commutative analogues
of the Prime Number Theorem and the Linnik Theorem:
- how often the values of f(x) at integral points in X are almost prime?
- can one effectively solve the congruence equation f(x)=b (mod q)
with f(x) being almost prime?
We discuss a solution to these questions when X is a homogeneous
variety (e.g, a quadratic surface).