Speaker:
Luke Smith
Speaker Link:
Institution:
UC Irvine, Math. Department
Time:
Wednesday, April 17, 2013 - 4:00pm
Location:
Rowland Hall 440R
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.
Advisor: Daqing Wan