## Speaker:

Antonio Rojas-Leon

## Institution:

UCI

## Time:

Thursday, May 11, 2006 - 3:00pm

## Location:

MSTB 254

Given an arbitrary polynomial f in n variables over a finite field k, it is known that for a generic linear form l the exponential sum associated to f(x)+l(x) is pure. However, the proof is non-constructive and gives no explicit description of the set of such l's. In this talk we will give some results and conjectures related to the problem of giving an explicit geometric description of this set.