Caltech/UCLA Joint Analysis Seminar

PLEASE NOTE DIFFERENT TIME

We describe how one can use equidistribution properties of families of polynomials defined over finite fields to derive some interesting effective results in algebra. For example : given an ideal J generated by m complex homogeneous polynomials of degree < d, we show that J is contained in an ideal J' generated by C(m) homogeneous polynomials of degree < d that form a regular sequence, where C(m) is polynomial in m. All terms will be defined and explained in the talk.