University of Arizona
When
2 – 3 p.m., Today
Where
Title: On the unit root L-function of the hyper-Kloosterman family
Abstract: Dwork introduced unit root L-functions in the 1970s and conjectured they are p-adic meromorphic when they come from geometry. This was proven by Wan in 2000 in a series of papers. Very little is known about these L-functions aside from meromorphy. In this talk, we will discuss some recent results on the p-adic unit root L-function of the hyper-Kloosterman family of exponential sums over finite fields.