Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Polytope Bounds on Value Sets

Luke Smith
Wednesday, April 17, 2013
4:00 pm - 4:50 pm
RH440R

Talk Abstract:

Over finite fields, if the image of a polynomial (a.k.a. the value set) is not the entire field, its cardinality is often quite a bit smaller. Earlier results bound this cardinality using the degree of the polynomial. We improve upon these bounds for multivariable polynomial vectors over a finite field using the polytope of the polynomial.

About the Speaker:

Luke Smith is a 4th year math grad working in number theory. When not doing math, Luke awaits his next opportunity to explore the outdoors and to travel. He also really loves experimenting with cooking.

Refreshments:

Pizza will be served after the talk.