EVENT DETAILS AND ABSTRACT

Title: Existence of a compatible system of a local system
Speaker: Koji Shimizu
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Fontaine and Mazur conjectured that an l-adic Galois representation of Q comes from algebraic geometry if it is unratified almost everywhere and de Rham at l. The conjecture implies that such a representation should be embedded into a compatible system of l'-adic Galois representations with various l'. My talk is about the relative version of the Fontaine-Mazur conjecture replacing Galois representations by etale local systems on an algebraic variety. I will give supporting evidence of the conjecture by discussing existence of a compatible system of a local system.