Artin's Conjecture on Zeros of p-Adic Forms

ANALYTIC AND GEOMETRIC NUMBER THEORY MINI-COURSE
Topic:Artin's Conjecture on Zeros of p-Adic Forms
Speaker:R. Heath-Brown
Affiliation:Oxford University
Date:Wednesday, March 24
Time/Room:2:00pm - 3:30pm/S-101

This is an exposition of work on Artin's Conjecture on the zeros of p-adic forms.A variety of lines of attack are described ,going back to 1945.However there is particular emphasis on recent developments concerning quartic forms on the one hand ,and systems of quadratic forms on the other. This is the first of two lectures. The second will take place in April.