- Series
- Algebra Seminar
- Time
- Monday, April 1, 2013 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Kit-Ho Mak – Georgia Tech
- Organizer
- Anton Leykin
Let p be a prime, let C/F_p be an absolutely irreducible curve inside the affine plane.
Identify the plane with D=[0,p-1]^2. In this talk, we consider the problem of how
often a box B in D will contain the expected number of points. In particular, we
give a lower bound on the volume of B that guarantees almost all translations
of B contain the expected number of points. This shows that
the Weil estimate holds in smaller regions in an "almost all" sense. This is joint work with
Alexandru Zaharescu.