EVENT DETAILS AND ABSTRACT

Title: Hypergeometric motives and their wild ramification
Speaker: David Roberts
Speaker Info: Minnesota
Brief Description:
Special Note:
Abstract:

A group of mathematicians is currently studying hypergeometric motives with an emphasis on completely writing down associated L-functions and numerically checking their conjectured functional equations. At present the L-functions are completely known except for factors coming from wildly ramified primes. These bad factors are much harder to determine than the good factors, but computations nonetheless suggest considerable regularity. The talk will give an overview of the current state of the project, with an emphasis on the bad factors. (Progress reports from group members Henri Cohen, Fernando Rodriguez Villegas, and Mark Watkins focusing on other aspects of the project are available on the Internet).